first let me make note of a few things:
the ideal way to use a receiver with a pc is to use video passthrough on the receiver. this means a hdmi out of the pc (or dvi-to-hdmi cable works too) which goes to the receiver input and then the receiver hdmi output goes to the tv or monitor. why is this the best way? quite simply because hdmi supports uncompressed sound for 5.1.
i personally use this method for hooking up my own system. i use a tv instead of a monitor and i use a dvi-to-hdmi cable instead (since my video card doesnt support a full sized hdmi plug and i got a free cable with my video card) and i have zero issues. honestly i'd consider this the ideal way if you only have one monitor/tv and its not any more than 60hz input.
you could run hdmi out of your video card to the monitor and output either spdif optical or coax to the receiver from your soundcard/onboard as well however this is only limited to 2.1 uncompressed. to run surround sound it will need to be compressed such as in Dolby Digital Live format. basically this boils down to less quality sound (although still good) and a few instances where you might run into problems with some audio formats. if you dont have spdif optical or coax (the coax looks like an orange rca jack normally) then you would need a soundcard
now... with that out of the way.. as far as i can tell that monitor is 60hz. 120hz/240hz wouldnt play nice with your home theater receiver but this monitor should.
the computer should automatically detect your display at the end of the chain of cables if you have things hooked up correctly. keep in mind that you may need to start the system out from an off state, connect things up and then start it up. for sound, make sure the receiver is the default audio device in playback devices (right click sound icon on taskbar)
please specify what your issue is... are you not getting video or audio?
also make sure that your monitor is set to the right input (the hdmi port you are plugged into on the monitor) and the receiver is set to the right input (the hdmi port the pc is plugged into)
you may also want to note the rest of your pc specs (most important are the mobo and/or video card) as well as if you have the most recent graphics card drivers.