Well that's a pretty big spread, 30-30 and 30-06 to consider.
Your standard 30-30 leveraction is not a target rifle but will shoot accurately enough for a new person. You will not win any Regional matches, or place at the Nationals with the thing, but you would be more than adequately served hunting deer sized animals out to 150 yards.
I have always perferred the Marlin actions. You remove one screw, off comes the lever and out comes the bolt, and you can clean from the rear and wipe out a lot of gunk without having to disassemble the thing.
The "other" 30-30 is the classic M1894 Winchester. Millions of the things out there. I don't own one. I looked at the disassembly instructions in a book, the thing looks complicated.
I have read posts by gunsmiths who claim that they get 80 plus year old lever actions that have never been cleaned or disassembled. I can believe that for the Winchester.
As for a 30-06, great round, lots of rifles, actions, etc. Kicks more too. The average 30-06 is a bolt gun, and that will be more accurate on the average than a lever action. But on average, you will be less accurate than either.
Accuracy takes a good rifle, and a lot of practice on the shooter.