a great start may also be The Bell Jar by Sylvia plath, sure it isn't the most upbeat, but it does give you an insight. I agree with ZamsMeteoriteEye, the handmaid's tale is great too (and its subsequent The Testaments, i love you margatet atwood). A-Level English literature over where I'm from does the connections of all of those, and feminism within.
another good shout is Red Clocks (Leni Zumas) which I read last summer, set in a 'different time' which as you read it, seems more like present day in some countries rather than a dystopia, which is sort of terrifying and really evokes a powerful feeling. I'd say this is a great book to read further on, though. (one of my favourite books, although it is quite chilling)
a few more that would be great to start with would be
- The Stepford Wives (more of a harrowing story)
- The Awakening (more on the female empowerment, quite dull at times another one of my favourites)
- Herland (im currently halfway through this)
if you want like synopsis of these I'd be glad to send you them lol, I just don't want to spoil some of them as they are all lovely books