What questions can I talk to this girl about for opening up and talking about feelings

Ok that's just a weird position. Usually we asked questions about how we felt when we were in grade school. What she's trying to translate to you is that she wants some deep seated conversations that's going to allow the both of you to talk and get to know each other and "really" feel like you both know each other.

Talk about random things about what you really have an expressed opinion for so you can actually carry the conversation...obviously when you guys talk it'll jump from topic to topic but just go with the flow and play it by ear. If it's boring change it fast. Also listen to what you both are saying to each other.

Tell her exactly what you just said:

"I don't know how to open up, what exactly would you like me to reveal about myself? I haven't had many experiences in my life where I've been comfortable opening up but I would like to and hope you can help me."

She will in turn, cry and you'll have wonderful sex.