If you want to know if she feels the same way, ask her to do something for you that's out of her way. If she does, it's a good sign. Too many guys want to buy and do things for their date and base how they feel on the reaction upon recieving a gift. But it's basic psychology that to make someone like you more, get them to do something for you. So whether you're in a relationship, or you want a boyfriend or girlfriend, your date should do what you want them to (within reason, of course.)
If they do what you want them to when you ask, the second step to knowing if she feels the same way is to give her a large gift or prepare a big vacation. Only do this after the first step. Most girls with morals will only accept it if they really like you and want to spend that time with you. If they pull away, then you know that they feel guilty about accepting a gift from a date they don't like or a boyfriend they don't see themselves in a long term relationship with.
The last step, after the gift, assuming she accepts it, is to simply have a talk. These steps must be followed in order, because if you just start talking, you're going to look emotionally needy, and that scares everybody off. Only have the talk after you have been dating, and you receive the signs indicated above. Tell her exactly what you want, and see if she wants the same thing. Listen well. Don't hear what you want to hear, listen to what she is saying. She will never tell you directly what she wants, but she will always tell you exactly what she wants. Good luck!
I quote others only to better express myself