For the first cleaning, pop the action out of the stock, take the barrel off and the bolt out.
Clean the barrel from the breach, clean the action 'tube' interior, take the trigger mech off and give it a good hosing with some brake cleaner while working it.
Make sure the firing pin channel is clean and smooth, the same for the firing pin itself.
Then reassemble, all metal surfaces get a light wipe with a good gun oil like CLP or Lucas or G-96. Give the trigger mech a couple drops as well, plus the bolt.
If you are going to shoot the next day, leave the bore dry, if it'll be a couple days give it an oily patch then one (1) dry patch, and it'll be good to go., then re-install the barrel, screw the stock back on and you can have complete confidence in the gun.