There are a series of video interviews with Justice Ginsburg that contain very interesting anecdotes about her life in the law and outside of it, including this one:

The Dean [of Harvard] greeted the women in the first-year class with an invitation to dinner at his home. And we thought, “Oh, how thoughtful.” The Dean brought us in to his living-room and called on each of us to tell him, in turn, why we were at the Harvard Law School occupying a seat that could be held by a man.

In this video she talks about preparing to litigate her first gender discrimination cases:

You can find the other fascinating videos here. The embedded videos are a bit finicky, so you may have to watch the videos at the website itself.