Just joined the table, first hand :

PokerStars No-Limit Hold'em, $0.10 BB (9 handed) from (Format: FlopTurnRiver)

CO ($13.35)
Button ($10.55)
Hero ($9.90)
BB ($9.55)
UTG ($9.20)
UTG+1 ($12.25)
MP1 ($4.10)
MP2 ($9.70)
MP3 ($11.70)

Preflop: Hero is SB with Q, Q.
4 folds, MP3 calls $0.10, 2 folds, Hero raises to $0.6, 1 fold, MP3 calls $0.50.

Flop: ($1.30) T, 9, 4 (2 players)
Hero bets $1.2, MP3 raises to $2.4, Hero calls $1.20.

Turn: ($6.10) J (2 players)
Hero checks, [color=#CC3333]MP3 bets $8.7 (All-In), Hero??

What does a min-raise usually mean?

I would fold the flop. As played - fold the turn. You do not have the odds to continue with an OESD and your overpair is no good.