My girlfriend told me that she doesn't like sex so I'm going to break up with her.
What exactly did she tell you?
She said sex was overrated and wanted to focus more on talking.
Everyone have different intimate needs with their partner. If you do not feel you can reconcile you should end the relationship.
She better learn to like sex if she wants me to stick around.
If sex is all you're in the relationship for then it's probably best you end it. It's really shallow to think that's all there is to a relationship. You should try things your girlfriend's way for a while and see how it goes if you really want to be with her.