Using a Vista PC as a network bridge for Blu-ray player?

In my living room a have a PC running Vista Biz. It's connected wirelessly to a linksys router. It also has a unused network card. I also have Blu-ray player. Instead or running a cable to the router or buying a wireless adapter, I would like to connect a cable from the Blu-ray NIC to the PC NIC. Thus using the PC as a bridge. Can this be done and how do I do it? Does the cable need to be a crossover or will a regular Cat-5 cable work