If that's where you're staying, you're about a half an hour drive away from "London" London. The girls are goers, but you could say that about all UK unis. I don't have much info on the workings of the school itself, but it is in an exclusive part of London, so I'd imagine its of a high standard.
As for Richmond itself, it's alright, if a bit dry. Most of the bars close early and the shops are pretty expensive. You're probably better off going out in Kingston. It's a lot more eclectic.
You do get great views from the hill, though. Used to take chicks round there all the time, back in the day.