In men, if you dont see any warts anywhere, then your just a carrier.
If when your girlfriends hpv clears up, yours could probably just go away too or you'll remain a carrier (kinda hard to tell because there is no hpv test for men. The real person thats in danger with hpv is the woman. I wouldnt advise to break up with your girlfriend over hpv ( no way!).
There's no one to blame when it comes to hpv (unless ones a virgin), but its almost impossible to tell who you got it from and when. So no one should be upset with anyone unless it was a purposely done which I doubt.
You being a carrier is like a invisible virus but if you have sex with some other chick and you can transmitt it her and her pap smear will someday be "abnormal"
once you girlfriend it cleared up, you wont be able to reinfect her unless you gave more than one type of hpv.