This isn't my area but I can relate to you the information given in the very detailed book "Daily Life in Ancient Rome" by Jerome Carcopino, a very respectable historian from the mid 20th century. Please excuse my use of quotes, but he's the expert so I feel there's much he can say better and more authoritatively than I ever could. I should mention that his book covers the period of the early to mid Empire, when the state and culture had been arranged in such a way after hundreds of years of development.

(Anything written in brackets is my own addition to the direct quotation).

When first getting up in the morning, a wealthy Roman woman had a very elaborate and time-consuming ritual of dress, fixing hair and applying makeup. Hair was very complex for women during this period, and took quite a while and great skill to get it right. Even so, it sometimes just didn't work, which was an occasion for plenty of distress on the part of the woman and her ornatrix. Makeup was applied, also an elaborate process, and stayed on until just before bed. She then chose her jewels and dress for the day, and put something nice in her hair like a diadem or a band of crimson. She often had a scarf on and a cloth over her arm for wiping dust and perspiration, she carried a fan and may have had a sunshade when outdoors.

In general, Jerome writes that in the time of Trajan, ie. the height of the Empire around 100 AD, Rome's women "spent most of their time indoors. If they were poor they attended to the work of the household, until the hour when they could go to the public baths which were reserved for them (ie. men and women were not allowed to bath at the same time in this period). If they were rich and had a large household staff to relieve them of domestic cares, they had nothing to do but to go out when the fancy took them, pay visits to their women friends, take a walk, attend public spectacles, or later go out to dinner (however, dinner for the rich was often an elaborate affair that could take many hours, beginning in the early afternoon)"

Whereas a man had many duties to attend to during the day, including paying and receiving daily homage to their patrons and clients respectively, which could take a lot of time, "the women were at least excempt from this merry-go-round of salaams. They neither held court no received it." Jerome says the only exceptions would have been widows carrying their tale of woe to their dead husbands patron, the wives of some "rapacious beggars" who would bring their wives with them looking to gain further favours through "ostentatious sycophancy". However, most Roman matrons apparently did not care to attend these events.

Women did not generally go to work. "Feminism" in which some women would take "pride in emulating men in every sphere of life" existed but was exclusive to the rich. These ladies might devote themselves to "music, literature, science, law or philosophy, as they threw themselves into sport...they would have thought it beneath them to stoop to working at a trade." There was a small number of women "earners", including the rare secretary, clerk, stenographer, teacher and even more rarely they worked as doctors. They more commonly worked as seamstresses, hairdressers, midwives and nurses. Female tradeswomen existed but were very rare. The Roman woman "despite all the moral and civil emancipation which had fallen to her under the empire, preferred to remain in the...security of her own home, far from the hurly-burly of the Forum and the noise of trade." Indeed, women rarely even went shopping. "It was the Roman husband's business, as it is today (the 1940s) among middle class [Muslims], to do the shopping and supply the provisions for the house."

There is much more, but the rich women in this period basically didn't really have much to do and they didn't participate in public life. Poor women were much busier, as they did everything that needed to be done while their husbands were at work. Sorry I used so many quotes, I don't know that much about this topic, but I hope this gives you a view of an overview. Newer sources, which I don't have on me at the moment, would be more informative however: Jerome paints a picture of indolence for the rich which might not be the entire picture. Again, I'm sure the poorer or middle class woman was far more active.