Assuming she were among a somewhat higher class, would she be aware of any scientific advancements or happenings around the world? Would she be allowed to visit a theater or something?
Any and all points towards first and secondary sources for daily life of young women during this time would be very helpful.
As with all things in history, it really depends. How high of a class? What age? What marital status? Where did she live? All these things determine what kind of freedom a girl would have, and freedom for women allowed for more exposure to the "outside" world. (What you mean by "outside" should also be expounded upon.) For instance, girls growing up in a country estate would have a governess of some sort, or their mother, who would teach them reading, writing, languages, history, and music. Women were taught through Latin principles during the Elizabethan Era, so most higher class women would be proficient in Latin as well as French, and possibly several other languages. They could read and write, and perfect handwriting was very important. Along with this, music and theatre were also important. However, at 18 years old, a girl would most likely be married. First marriages usually happened from age 14-22. As a married woman, a girl would have different freedoms. While still tied to her husband, she would nevertheless have more freedom to visit theaters, go to court festivities, and converse with other groups of married women. Married women, although not always allowed to be a part of governmental decision-making, were still aware of what was going on in the world. Widowed women would have even more autonomy to do what they wished. One of the most powerful positions a woman could have in this era was that of a widow. Widows (usually) had their own money, an established position in society, and no one to defer to. Look at "Bess of Hardwick," who was married 4 times, and each time rose to even higher power. She did this through her own shrewd bookkeeping and having her choice of husband. Or, a Margaret Cavendish, a writer, poet, and scientist who was the first woman to be invited to the Royal Society of London to speak about her writings on Natural Philosophy. In fact, she even wrote a science fiction novel, in the 1650s. Other than this, what you should look at is where people lived. Anyone who lived at court would have a much greater knowledge of scientific advancements, governmental affairs, and all the new plays and music before people who lived further away.