As much as I could understand,when you double click the game's shortcut / file that is supposed to run the game,nothing happens at all?
Do you get ANY message by any chance?Such as UNSUPPORTED PIXEL SHADER VERSION?
You should be aware that if the game is completely new,but you have an old graphic card which does not support the pixel shader version and DirectX version that the game requires,the game will not run at all.Also if the game is 32-bit game,but you have 64-bit OS,some of the games might not run also because not all games support 64-bit OS.
But just as a precaution,try to run some older games such as Half-Life 1 and 2,Doom 3 (my favorite ^^ ) and so on.Those games do not require pixel shader above version 2.0 and do not require DirectX above version 9.0 C and should run under your graphic card unless if your graphic card is extremely old lol.
By the way how strong is your processor,graphic card and how much RAM memory do you have?Also what is the exact edition of the Windows 7 you are using (such as Enterprise,Home Premium,Ultimate and so on)...and is it 32-bit or 64-bit edition?
Cheers!