Your PC will treat your TV as just another monitor, if you have a SPDIF connector on your graphics card it'll also transfer sound.
All you do is set the res to what ever you want on the TV (best to pick the screens native resolution, my HD ready TVs native is 1360x768), then pick the program you want to play the files though, and then tell the program if you want it to play it at the file resolution or at fullscreen, like you would on any normal monitor.
But what I was meaning is that if I play 23.976fps content on a screen that is set up as 1080p60 for example then it will leave the graphic card performing the conversion of a non syncronous frame rate onto the screen? There is no way that the HDMI output is intelligent enough to adapt the refresh rate based on the content?
It is something that has to be done manually correct?
Like for example if you play a 24p BR on a TV that doesn't support 24p, the TV plays it back at 25p (PAL countries) and then you have pitch shifted audio, etc.