Sharing a bed with the girlfriend. Help.?

New Girlfriend. Lives a few miles from me. Buses to her stop at 5 and dont start again until 11 the next morning, SO I'd have to spent the night. She's a new girlfriend and we get on great, and we've flirt and joked about . She says I can share the bed with her. This is gonna be one of her first dates, so I want to know what is the protocol? Is snuggling ok? Should I sleep right next to her (its a king size bed so there's plenty of room)? I know it depends on the mood, but like I dont want to be too distant and have her think im not interested, while at the same time, be too clingy too soon. This is the first time i'm gonna be at her place.