Hey guys. Need some grades. Specifically, I want to know about my bet sizing on the end. Also, was I getting the right odds on the turn to continue? I care about the implied odds more than the pot odds? Thanks.

Villain is 35/25 with a 2.5 AF over 136 hands.
PokerStars - $0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 3

BTN: $4.36
SB: $6.12
BB: $5.07
UTG: $5.00
MP: $14.00
Hero (CO): $7.80

SB posts SB $0.02, BB posts BB $0.05

Pre Flop: ($0.07) Hero has 3 3

UTG raises to $0.15, fold, Hero calls $0.15, fold, fold, fold

Flop: ($0.37, 2 players) 5 4 Q
UTG checks, Hero checks

Turn: ($0.37, 2 players) 2
UTG bets $0.28, Hero calls $0.28

River: ($0.93, 2 players) A
UTG bets $0.71, Hero raises to $2.00, UTG calls $1.29

Looks fine overall.

I like the call on the turn not just because of the odds on the straight draw but because you have the best hand a decent amount of the time as well. If you only had a 3 and no other hope of winning the pot I'd fold, but there are lots of draws and just total bluffs that you beat.

I'd make the raise on the river slightly bigger, maybe around $2.50. Ask yourself what you think the biggest raise is that he would call with a hand like 2 pair. Most hands that call $2 are calling $2.50 imo, but if you make it much more than that you're going to scare him off.

thepaul1 you say you call not because you have a draw but because you could have the best hand. Yet you say if you had no other hope of winning you fold.
If you think he has the best hand a decent amount of the time with pocket threes
Then you have to call the turn with Ahigh,2x and even Khigh sometimes.

When he checks to me on the flop I just fire three barrels

I fire on flop and barrel any diamond, A, K, 2, 6

You have six outs (~12% equity) and are getting ~2.2 - 1 expressed odds and ~15-1 implied odds if you stack him. You need ~9 - 1 in order to break even making this call.

With your raise on the river you barely achieve this as from your call of 0.28 you then won 0.37 + 0.28 + 2.00 = 2.65 / .28 = 9.5.

So yes you evidently were getting the correct implied odds but with regards to your question on bet sizing, if you wanted to do more than b/e you should have raised more on the river to get more value.

On the turn when calculating the profitability of a call you have to think about how strong villain's range is and how much value you are going to get from this range when you hit. I wouldn't call with your hand unless I believed I would stack villain otr when I hit which is just unlikely for many reasons.

So I would fold to his turn bet unless I thought my hand might be good without improving.

I think Thepaul's reasoning is you make the turn call because of both the possibility of having the best hand already and because you have the draw. It's not a question of one reason or the other.

If you have just a weak 3, you have no chance of already having the best hand, and if you have a pair of 2s, you have almost no chance of pulling ahead the times when you don't have the best hand. But with 33, you'll be ahead sometimes already, and draw out sometimes when you're behind, so it's the combined equity of this situation that makes it a call.