borowy23, welcome to the Seven Forums.
The reason that Windows 7 can't identify that card is because it is far too old and there is zero support for it in Windows. The only way to get that card to work with Windows 7 (and you still won't get Aero as the card doesn't have the necessary hardware on it) is to install the last XP driver
which in your case won't work as it is only 32 bit and you have 64 bit Windows listed. There is also no 64 bit XP driver for that card.
Does anybody know how to solve this problem?
Easiest option would be to buy a card that does have Windows 7 support.