you can download some PS2 games from PSN,hopefully the game you wish to play is on there(I seriously doubt it though,not a massive selection)
I have the launch PS3 so it can play PS2 titles,its better than the 360 for B/C but i do still have problems with some games(FF12 cutscenes stutter etc)...and i had to buy FF8 again(yeah i know that's PS1)when playing it on my PS3 I got to disc 4 and it didn't work,you can't move your game saves across so i went out and bought a new copy of the game...I found out later the original game disc 4 actually still worked on my PS1 and 2

..so now i have two copies of FF8...i never did get back to the game,LOL
so yeah,as i have just learnt with playing KOTOR on the 360,best to play the games on the original systems(IMO anyway)