Villain is 60/0/0.71, but only 25 hands at this point.

Party Poker 2/4 Hold'em (10 handed) FTR converter on zerodivide.cx

Preflop: Hero is MP1 with J:heart:, A:diamond:.
UTG calls, 2 folds, UTG calls.

Flop: (7.50 SB) 3:diamond:, 6:club:, K:heart: (3 players)
UTG checks, Hero bets, CO folds, UTG calls.

Turn: (4.75 BB) 5:heart: (2 players)
UTG bets, Hero folds.

Final Pot: 5.75 BB

I think this is pretty standard, but maybe I should be doing something else.

No, I think you played it fine. Nothing else you really can do. You have to lead the flop, and really nothing you're beating when he gaybets the turn.