I bought a VGA to Component cable converter.

Would this work to connect my Windows 7 PC to my TV (it has the standard input I use for the Wii), or do I need some kind of "smart" converter?
I bought a VGA to Component cable converter.

Would this work to connect my Windows 7 PC to my TV (it has the standard input I use for the Wii), or do I need some kind of "smart" converter?
If the video card you have supports TV out over VGA, then yes... you can use it. From that product page...
Your VGA card must support TV out directly through VGA port function
Not every video card supports this feature. If your video card does not support TV out through VGA, then you need an actual scan converter like this to convert VGA to composite.
EDIT
Ok. The computer is a Windows 7 PC. You still need to look up the product page for the specific video card that is in that computer (or integrated video chipset) in order to know if it supports TV out over VGA. That, or you need to edit your question again to supply that exact information here so we can look it up for you.