My 8yr old started taking lessons this summer, at her request... that's what got me to start playing again after a 7 yr layoff. I take her with me when I play and here's what I've found....
They learn FAST
You shouldn't give swing advice, no matter how horrible she may be.
Sometimes just riding along is enough.
Let her play from the 100 yd marker, and don't count strokes until she wants to.
Too much praise is just as bad as not enough, and sounds false.
If she'd rather wade through the weeds to look for lost balls, let her.
Sometimes she'll want to sit out for a hole or 2, then play the next one.
Get her her own clubs, and don't skimp.
Kids that age like putting contests.
Let her drive the cart, but be ready to hit the brakes!
There's nothing more beautiful than watching your own daughter hit a pure shot, or sink a long putt.