The default answer to all relationship issues is without fail "talk to each other.
You have known her obliquely for a couple of years, but socialised closely for 8 weeks, right?
She may just be having fun, she may think you're Mr Right. You're never going to know unless you ask.
Also, if you've not told her that you're frustrated about being in the driving seat all the time, it may be that she thinks that's what you want.
Good luck.