Very Simple, Really...
If your girl had a bad relationship with some abusive can-of-crap, there's a good chance that he "trained" her to shut up, sit down, and keep out of the way until he was interested in sex. Consequently, she thinks that guys don't like for girls to initiate things, and that her job in your relationship is to accept what she's given.
I'm sure she'd love to love you; she just needs to know that you'd be happy with it, too.
But I wouldn't "talk" to her about it. Don't make her feel as though she's lacking something, or has been neglecting you somehow.
Just be playful about it: "Well, where's my hug?" or "Don't I get a kiss, here?"
That sort of hint ought to tell her that it's perfectly OK to show a little spontaneous affection.
Then you can come back here and start a thread: " Help! I'm Always Having to Pry My GF Off of Me."
But that's a different problem. We'll deal with it in its turn.
When in trouble,
Or in doubt,
Run in circles,
Scream and shout.