I am new at the table. No reads.

$0.25/$0.5 No Limit Holdem
6 players
Converted at

Stacks:
Hero ($50.00)
UTG 1 ($49.96)
CO ($50.16)
BTN ($53.63)
SB ($55.76)
BB ($121.72)

Pre-flop: ($0.75, 6 players) Hero is UTG [Th]
Hero raises to $2, UTG 1 raises to $6, 4 folds, Hero calls $4

Flop: [Js][9h] ($12.75, 2 players)
Hero bets $10, UTG 1 raises to $30, Hero goes all-in $34, UTG 1 goes all-in $13.96

Leading into the 3-bettor in this spot seems semi-bad. This guy is 3 betting you when you raised UTG without reads either way. You bet out onto a board that he can easily get away from if he missed with AK or 88, but will probably be calling or raising with any set, AQ, AA, KK type hand which is probably what he most likely has since he did raise you. The best scenario for you is AA and its 6a/39 in his favor. If he has KK, you are a 3-1 dog.

I check this flop OOP and IP, and if he makes a weak flop bet, I just call. I'm folding to a full pot bet. If I bet out, I'm folding to the raise on the flop.

I'd probably just check shove.