Ok there are two things which I am going to say here: Ist: I don't think you guys have really broken up in the sense the girl wants to be still your friend and want to take you to parties and such... she's probably just testing how deep waters are with you... so don't worry, the case is not gone yet.. you have chances but don't overdo things.. that's the key point to understand.
Secondly, if you want her back, you need to understand that friendship is a beautiful relation you can have with someone and if it's selfless, nothing more that you can ask for... so if you really like this girl, be with her and enjoy the simplicities of life just by being you... Enjoy the moment... love her deep inside not a problem but let that feeling not hamper your growth as being someone's friend...