I just installed it and it is running full screen (1920 x 1080) on my new 27 inch LG monitor. It is beautiful. I did nothing. I havent even installed the monitor software to my rig yet. One thing I did noticed during the installation was I got some kind of message that stated it was configuring the game to my monitor. I did nothing to prompt this. Sorry I have no answer for you but at least you know that it possible to get it to run full screen.

Try adjust the scaling on either your monitor or through your graphics card settings. Preferably do it on your graphics card by using the scaling options under Nvidia Control panel/Catalyst Control Centre. You'd want the "Stretched" option if you want it to fill ALL the screen.

Thanks very much! I tend to avoid tinkering with the settings in the GPU panel but int this case it fixed it right up!