I'm another who recommends a lot of .22 rimfire time for somebody who's new to rifles.
For somebody who's a beginning deer hunter, I sorta recommend staying inside of around a couple of hundred yards, insofar as one's thinking about cartridges. Probably 90+% of all deer are shot inside of 200 yards, and there are very few centerfire cartridges that would not be excellent.
I don't know why I've always regarded the .25-'06 as a sort of in-between that doesn't really fit what I've wanted. "It just doesn't." So, I've pretty much been a .243 guy and '06 guy. The .243 works well as a varmint rifle, and IMO is better for that than the .25-'06. Lots of "I dunno."