Never tried this but here's what I recall about Fire Polishing:
1)For the first 10 rounds, clean barrel after every round fired.
2)After 10 rounds, clean barrel after every 2nd round fired.
3)After 20 rounds, clean every 3ed round.
4)After 30 rounds, clean every 4th round.
Etc, etc, until you have fired 50 rounds.
Or.....to save your shoulder from a lot of punishment, there's also something called J-B Compound used in conjunction with Kroil will clean and polish the bore. Available through Brownell's.
Good Luck with that new gun/barrel.