What do girls like boys to tell them?

Well at first try talking about something you both have in common. This will help both of you feel more comfortable with each other. Like maybe some sport you both play or watch on tv, or a television series you both like, that way you always have a reason to sstart another conversation with her without scaring her away. Hopefully this will help you to get closer, because girls like it when the guy can relate to them, makes them feel more at ease.

Honestly, make her feel comfortable and confident around you, because no girl likes to feel self-concious around a guy. So don't bombard her with questions (can come off over-eager, make her work for it a little) and try not to list all your past relationships, crushes, or check out surrounding girls obviously when speaking to her as an attempt to get her jealous. (well unless she's opening up to you about some really bad relationships she's been through, then feel free to comfort you with your own unfortunate relationship stories! this way your letting her know in a subtle way that you're sensitive and available ;)

Well it takes two to tango. Maybe this girl is also racking her brain for conversation starters, and savers like you. Really hope this helps and goodluck!

Just be yourself, say what's on your mind and try to stay calm. If your getting all worked up over her, you won't get anywhere. Just have fun with it and go with the flow and you two will have a nice conv.