Unfortunately, we don't know much about "Persians way of education" but I try my best to answer your question in detail. With that in mind, I am going to look at multiple aspects of education during The Achaemenid Empire :

Firstly, Did Persians even care about education at all?

On numerous occasions, Xenophon stresses the importance of education to the Persians. As he notes several times, participation in education was in principle open to all Persians. But Xenophon also states that :

All the Persians may send their children to the common schools of justice. Still, only those do send them who are in a position to maintain their children without work; and those who are not so situated do not.

What Xenophon actually means is that, only the aristocratic families could send their children to be educated.

Now that we know they valued education, Where would the children be educated?

To answer this question, we can use Xenophon as a source :

All the sons of the noblest Persians are educated at the King's court.

But what would happen if you lived far away from the King's court but still wanted your children to be educated? Well, that would not be a problem at all because you could just send your children to your "local court".

According to a passage from Xenophon, education was the same in the provinces of the empire :

{The satrap's men had} to have the boys that would be born to them educated at the local court, just as was clone at the royal court.

Now that we know about where the children were educated, it is time for us to understand when should a Persian aristocrat send his child to the royal court/local court to have them educated :

This one is tricky to answer since ancient sources don't agree with each other. But let's have a look at these different answers anyway :

Xenophon :

Children until 16 or 17; youths for 10 more years; grown men; and then, after 25 years of service, old men.

Herodotus :

The training of young Persians lasted from the ages of 5 to 20, 20 was the minimum age for military service.

Strabo :

Education occupied the youngsters from 5 to 24, with Persians serving in the army from 20 to 50.

Most importantly, Who were the teachers?

One of the many decisions Xenophon attributes to his Cyrus is putting the royal Treasury in charge of enlisting physicians, "the very best." They acted as medical counselors, obtaining everything needed in the way of instruments and remedies, solid or liquid.

There is no doubt that the "wise men" (Called by Strabo) entrusted with the education of the royal children were the magi. They specialized in hymns and theologies. Their knowledge of the stones and plants used in medicine is attested in many ancient texts that explicitly claim to derive from their writings and their knowledge.

Xenophon also says that Cyrus was disturbed by the fact that his soldiers scarcely took any care of their health. To deal with that, he endeavored to stockpile "such things as would be serviceable in case of sickness" There is no doubt that these products were basically medicinal plants, In fact, it seems that the Persians made good use of medicinal plants in every circumstance of their daily life.

What did the magi teach the royal children?

The magi had a detailed knowledge of plants and remedies which were taught to Persian youths. Basically, The magi taught the children about gathering herbs and their value.

Strabo provides another essential detail about this question :

[The educators] also interweave their teachings with the mythical element, thus reducing that element to a useful purpose, and rehearse both with song and without song the deeds both of the gods and of the noblest men.

Another extra passage from Xenophon :

Of tales and songs still heard today.... In them, Cyrus is [presented as] having received from nature a very beautiful figure, a very generous soul, a passion for study and for glory to the point of enduring any fatigue, to face all dangers to earn glory"

It thus appears that the educators were entrusted with transmitting to the young Persians the oral traditions of their people. These dealt with the heroes as much as with the gods. As Xenophon says, a good part of the traditions dealt with the founder-heroes of Persian grandeur, such as Cyrus.

So, Basically the "Persian way of education" was boring classes about herbs and stones from noon to dusk?

Short answer no. Long answer below.

Xenophon makes sure to include the importance of the hunt in education :

[Every time the king goes hunting, some of the youths accompany him, for] in their eyes this occupation is the most authentic training for war. It is difficult to find in war a situation that has not occurred on the hunt. [During hunts] they eat nothing but cress, bread, and water, unless they catch game, which they may then eat.

Xenophon also states that they learn :

The properties of the products of the earth, so as to avail themselves of the useful ones and keep away from those that were harmful.

Training was thus principally physical and military, suitable for turning out good horsemen, good archers, and good lancers.

According to Xenophon, The honorary distinctions were awarded to the best youths by the king himself. While the rite of passage just described marked entry into the class of adult warriors, the public ceremony of awarding prizes allowed the youths to join those whom the king considered the Faithful on an equal footing.

Xenophon :

They see and hear the names of those whom the king honors, as well as those who incur his disfavor.

Another example this time by Herodotus :

The Persians taught their children three things only: to ride, to use the bow, and to speak the truth.

Furthermore :

Herodotus says :

To speak the truth Herodotus

Xenophon tells us that the children :

Spent their time learning justice, gratitude, and temperance ; they were present at trials conducted according to the law.

Herodotus and Xenophon are trying to say that the youths were educated in the duty of dynastic loyalty.

Was education only limited to boys? What about girls?

Generally speaking, the aristocratic women were specially educated.

- Quintus Curtius mentions that "governesses" of the royal children, perhaps of girls in particular, were present in Darius Ill's procession. Also that in Darius Ill's procession the princesses are accompanied by "horsewomen" and that, according to Quintus Curtius :

There is nothing that the women of Persia feel to be a greater disgrace than to work in wool.

- Ctesias gives the example of Roxanne, sister of Artaxerxes II's son-in-law Teritouchmes:

She was very beautiful and highly skilled with the bow and javelin.

This is a unique and very interesting statement implying that girls received a physical education something like boys', during which they studied traditional martial arts.

I hope this answers your question.