Check or bet turn against new player?

[Caerbannog1]

Villans first hand of the session. What to do here. Bet or check the turn? lol what is the river bet all about?

Poker Stars - No Limit Hold'em Cash Game - $0.10/$0.25 Blinds - 5 Players - (LegoPoker HH Converter)

SB: $35.65
BB: $31.65
Hero (UTG): $40.40
CO: $39.20
BTN: $13.60

Preflop: Hero is dealt K[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/heart.gif[/img] (5 Players)
<font color="red">Hero raises to $1.00</font>, CO calls $1.00, 2 folds, BB calls $0.75

Flop: ($3.10) 9[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/spade.gif[/img] (3 Players)
BB checks, <font color="red">Hero bets $2.95</font>, CO folds, BB calls $2.95

Turn: ($9) T[img]/images/graemlins/spade.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $8.60</font>, BB calls $8.60

River: ($26.20) 6[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">BB bets $0.25</font>, Hero calls $0.25

Pot Size: $26.70 ($1.25 Rake)