Fabulous to see her so settled with you 
They do bite when they've had enough of being stroked, usually it's just a warning nip and they often hold on for a couple of seconds but it doesn't break the skin.
If you stroke near the tummy when they are not in the mood, (they can lie invitingly with an exposed tummy that looks like a please stroke my tummy now invitation, mostly it's not!) they can curl up in a millisecond, grab you with their paws and nip, then push with their back claws extended. Remove your hand as gently as you can, otherwise you'll get scratched. I think one of the Simon's Cat cartoons has this in it, it's very common behaviour.
One of ours loves to jump onto my shoulder from the ground. Lovely if I'm wearing a thick fleece, not so great for me in a sleeveless top. I just put a drop of neat Lavender essential oil on any scratches and so far have had no infections. It stings at first.
Another one of mine will nip my feet or ankles when she's hungry, just once, it's a throwback to what they do to their mum as tiny kits, same as the paddling with paws and suckling on a jumper.
I'm sure you'll get used to her little ways, she's adorable.