Hahaha I think there is a risk that she's just using you... well
"use" is too harsh a word cos she did "pay back" with her
affection. That could be what's on her mind - you pay for her and
drive her around, she returns the favour by allowing you to get
intimate physically.
If you're really interested in her, you've got to delve beyond the
material & physical stuff and let her bond with you emotionally
and mentally. Try sharing more experiences together, talking more
about life, work, home, etc., get to really know each other. Then
again, creating an emotional bond takes time, and it's only been a
month, so give it some time.
The good news is that at least she's not totally turned off by you.
So I think there is a chance for the emotional and mental aspect of
the relationship to catch up with the physical part, as long as you
both work at it.