No, don't give her any details unless she asks. If she really wants to know, she will. Maybe she is curious about who you went out with and what you did but feels it is no longer her place to ask such questions.
If she is wondering, let it eat away at her until she can't stand it anymore and she will start questioning you eventually. If she really cares it will start eating away at her especially if you start going out a lot.
But then again, maybe she's not wondering. There's no way for anyone else to know.
The big thing here is to do what's right for you and do it for yourself.
