It should work just fine. Apple displays are not "Apple displays" -- they just have the Apple logo on them. It's the same as using a Dell display with an Apple machine -- works just fine. As long as your PC graphics card has the proper connector, you should be fine. Newer Apple displays use a standard DVI connection, so as long as your PC graphics card has a DVI connector, you should be fine.
Some Apple displays have a proprietary ADC connector, though, so you'd need to acquire the proper converter for your Windows machine. If this is the case, tell us and we can point you in the proper direction for a converter.