Glad to have you here on the GB forum. There isn't a better one around anywhere!
Now, as to your rifle, I assume you already have the scope mounted. You really can't bore sight it like a bolt action rifle, but that is not a problem. If you place a large target at 25 yards, as has been recommended, your rifle will likely be "on target", but not correctly "zeroed", or sighted in. Once you have fired three or so carefully aimed shots off a good solid rest, then begin making sighting adjustments to your scope. Basically, there are usually two adjustment screws; one for right to left, and one for up and down. By using these, you can move your group to the center of your aiming point on target.
Next, place another target at 50 yards, shoot one or two three shot groups and adjust as needed. If you desire a 100 yard "zero", then begin the same process at that distance.
Take your time, aim carefully, and use a good rest. The barrel will heat up fairly quickly with your rifle, that's normal, but let it cool down between shots.
You are smart to properly clean your rifle before shooting it. To accomplish that, you will need a good cleaning rod, preferably a one piece steel one, a good bore cleaner / solvent, a 30 caliber bronze bore brush, and some correctly sized cotton patches. Finally, buy a good lubricant / preservative type gun oil to finish up both the bore and exterior of the rifle. All these products can be found at a gun shop or from catalogs like Midway Arms.
Bore lapping is different from cleaning in that it is a procedure done to smooth up a rough bore. You probably don't need to be concerned about that now.
For ammunition choices for hunting deer, I would consider a 150 grain soft point bullet to start. Your rifle is rather light and will recoil more with the heavier bullet weights. The 150 is well suited for most deer hunting applications. Good luck with that rifle and enjoy shooting and hunting with it.