Hi,
I agree with tonibun, little bits to start with and gradually build up. Don't let her gorge herself when she first goes out as it could upset her tum.
I believe grass wears their teeth down just as much as hay does. I thought that was odd at first because grass seems much softer than hay but I read a post on here somewhere explaining that the structure of grass isn't smooth it's quite rough, and it wears teeth down as rabbits munch.