Young Dolph is recovering from surgery after getting shot in Hollywood, but he won’t be sitting down, comfortably anyway, for a while … TMZ has learned.

Sources close to the Memphis rapper tell us he was hit at least twice — probably more — during the shooting. We know he was hit in one of his arms and his butt. He underwent surgery Tuesday night, and we’re told he’ll be okay — his injuries are non-life threatening.

As we reported … LAPD has arrested one person in connection with the shooting, and our law enforcement sources tell us Dolph’s rival, Yo Gotti, is a person of interest.