My daughter was in the woods with us from the time she was able to get around. Since my mom, dad, and I all hunted, she would end up heading out with one of us. She learned early on what the guns would do like was mentioned, she was shown by example. We always practice safe handling and such so it just became part of her routine to ask her what needed to be done as we headed in. She would answer about checking the safety, removing the bullet, and then clearing the magazine.
At 5 she was shooting a Rem. ump 22 and hitting seltzer tablets at about 10 yds or so. When she moved up, it was to a Remington pump .243 which she was very good with out at 100yds. Then they changed up the deer limits and removed does from the list. So we went a few years before she got something with horns in close enough to shoot at. Then when the time came, she didn't want to shoot the .243, but my 25-06 instead. Well long story short, 1 shot @ 185 yds, and first buck.
Since then she has taken deer hogs and yotes out past 400yds from several shooting positions including offhand. She is really pretty scary if your on her list. Of course, she seems to think that my 25 is her 25, but thats just part of it. She hardly weighs a hundered pounds wet and hasn't backed down from anything yet.
My grandson is the same way, brought up out in the field with us hunting, checking tracks, setting up food plots and such. Here is a pic of him last year "sighting in his rifle",
I am setting up a Sako 243 for him to go after hogs with this fall. They will be good practice for him and hopefully further his enjoyment in the outdoors. I can hardly wait till I have a picture like this with him being the hunter,
Keep to the rules and be strict about it and you will find a lifelong partner. When the rules are broken then time in the field or shooting is taken away. THey learn very quick that the rules are easier to follow than sitting at home wishing they were with you. Good luck you will be building a lifetime of memories for the both of you.