Yup ! 22lr
bolt or lever doesn't matter, I would steer away from an auto for his first gun.
That's just me, I started with a clip fed bolt ( long ago) and did the same with my boy at 10 years old (now 15). I would give him one round until he mastered the loading and safe operation and proper shooting techniques, then I would give him two rounds. And so on, you get the idea. He has since mastered a pump shotgun/rifle, lever rifle, bolt rifle and revolver.
Get him the 22 and start a life of enjoyable shooting sports. Merry Christmas !