How do I bridge the eth0 to the real wireless card? Do I have to do that in the VMware server?
Yes, at least when you have a Linux host, when you run vmware-config it will ask you what card you want to bridge to, then tell it wlan0 (or whatever your wireless is called). I'm afraid that I don't use Windows, so I have no idea where you would tell it, but you definitely need to define this when you install or configure VMware server.
However on your guest OS, you will still only see eth0, you won't see wlan0. As far as I know there is no way to get the guest OS to see a real wireless card as a wireless card.