...Makes a bit more sense now
Dual-link DVI does NOT mean you need to plug both DVI sockets into the moniter; that seems to be the cause for confusion.
As for your moniter: If you want (and have supported hardware), you can connect your GPU to your moniter using a DVI -> HDMI converter, and you can transmit your audio to your speakers on your moniter over the connection. Otherwise, a standard DVI connection will be fine.