Can You Download, and Play Final Fantasy 7 on Ps3?

Someone told me that you can download old ps1, and ps2 games on your ps3 much in the same way you can download old Nintendo games on the wii. And I was told Final Fantasy 7 was one of the games you can download on PS3. Is this true? If so how much does the game cost? I don't own a PS3 but I plan on buying one soon.

Suggestion:

You can download and play all of the PS1 Final Fantasy games (7, 8, 9, and Tactics) on the PlayStation Network. However, you can't download PS2 games.