I took my youngest daughter (12 y.o.; she's actually one of my stepchildren) shooting for the first time at a friend's house a few weeks back.
I started her off with my Ruger Single-Six .22, then let her shoot a smaller-framed .22 revolver (S&W, I think) that my buddy brought with him. After that, she wanted to try my buddy's AR, so we adjusted the stock, pointed her down-range, and let her fire off a few rounds. Lastly, I let her shoot my S&W Sigma 9mm. She didn't like that one as much because of the stiff trigger, but she still popped a few in the target at ~15 yards.
My friend had his daughter (21) there and she took a bunch of pictures (when she wasn't shooting every gun we had). The common theme?: the constant ear-to-ear smile spread across my little one's face. She is now convinced that little girls are made of gunpowder and lead (her words, not mine!). My avatar is actually one of the pics from that day.
I always had guns around when I was little, some of which were mine. My Dad instilled the respect necessary to handle guns at an early age and I've been doing it without incident since (knocking on wood as I type!). I started teaching the little one how to safely handle, aim, and shoot pistols in our garage using an AirSoft BB gun that I bought at Walmart awhile back. I think it helped a lot.
It's such an awesome way to develop and strengthen bonds with a child which, I have found out through experience, will come in handy when they get older (5 kids total; 3 girls/2 boys; 12- to 24-years old)!!
I say go for it and have fun!:thumsup