Relationship Advise What to Do?

I've been talking with this girl for the last two-ish months and weve gone on some dates and she introduced me to her best friend last week. Every thing was going good i mena she kissed me on the first date and i've kissed her everyone since except the last one. When her friends were there as we were all leaving the resturant she just walked over the her friends car and as she was getting in she said good bye. I told her good bye then too. I as I drove away I texted her that I had a really good time and thanked her for inviting me. She replied sorry that she ran away she didn't want things to be awkword in front of her friends. So I asked her later that night if she'd want to go on a date this friday and she said yes so I found a very nice resturant and were doing dinner and a walk by the river after. The question i have is after seeing her half a dozen time and her kissing me back I'm kinda confused on what we are i mean I want to ask her if she feels the same. I really like and care for this girl and I just don't know how to bring it up and ask her to be my girl firend.