You will need bases to mount on gun, then the rings mount on bases or some use one piece bases. You can also buy Talley or Harts rings and others, that mount right on action, no bases required.
I mounted 2 scopes on Bolt action rifles yesterday, cleaned screw holes in actions with alcohol to remove any grease as well all screws, checked for alignment,lapped rings with lapping tool with grinding compound, cleaned up all compound instaled scopes, had owner check gun to make sure scope was full view and comfortable, leveled cross hairs then remove screws on front rings and put very little lock tite if non I will use nail polish on screws , and then back rings do the same.
I have a vise that is level and have a mark at 80 yards that I center in barrel and adjust scope on mark, this takes a little time, but usually very close to a 6" black bull at 100 yards, have never been off paper.
I don't charge as much as a smith would as most would use a bore scope which is faster and most shops, selling scopes don't lapp rings, just to much time. but if you have a quality scope its the only way, no marks on scope tube if you remove to another gun or want to sell later, and much less chance of scope moving with larger caliber guns, rings make full contact with scope. I have seen where some rings had high spots that only 25% contact would be achieved, and would leave marks on scope.
I really don't know what a gunsmith would charge for this as no one in my area does it