Start with the amp's manual, here
http://manual.kenwood.com/files/B60-4593-00.pdf
This system can do 5.1 surround sound, although in some places it calls that 6-channel sound. First you have to decide which signal system you are using. The amp can handle either 5.1 surround analog signals (p. 8) or digital optical signals (p.9) for input, so choose what you have available from the signal source - that is, I guess, from the output jacks on your computer. NOTE also that it says the amp's default setting is to use the DIGITAL inputs, so if you're hooking up analogs you will need to change that setting.
MANY computer systems have TWO audio output systems. Almost all mobos come with some audio system built in, and signals from it are accessed from the rear panel of the mobo. Usually there are a set of three jacks for analog outputs (Lime Green for front L/R stereo, Orange for Front Centre / Subwoofer, and Black (maybe Grey) for L/R Rear. (On amp manual p.8 it labels the rear speakers as "Surround Out L/R".)There may also be an audio Optical digital signal output port. You connect using ONE of those two connection methods. Additional notes. 1. Your computer screen probably has an icon at lower right for a configuration tool for the on-board audio system. You need to configure that for the type of output you want to use (5.1 surround, aka 6-channel) and the type of connections (analog or digital). 2. IF your mobo audio system is by Realtek (very common), it has an interesting system that allows you to re-assign the several output ports to different uses. BUT it also requires careful use or it will send out NO sound signals! So if you get nothing from some ports, post back here for more details.
The OTHER way to get sound MAY be from your VIDEO card! Passing audio signals from a mobo system to an added graphics card is difficult, no many simply incorporate their own extra audio output chip on the graphics card. That way it is easy to send stereo (L/R) analog sound to your monitor via the HDMI cable. VERY often when you install such a video card it also installs the card's audio device drivers, too, and then changes a Windows setting so that all sound is sent out on the HDMI cable, and NONE from the mobo back panel jacks. So if that's what you have been using recently, you probably get nothing when you try to connect to the mobo jacks on the back. If that is your situation go into Control Panel ... System ... Sounds and find the screen where you can specify the Default Sound Playback device and the Default Sound Recording device. Each has a little drop-down selector. For the Playback device, you should see both the system on your mobo (maybe Realtek) and the one on your video card. You get to use ONE of those at a time, but you can always come back here and change the setting. I expect your video card system can NOT do 5.1 surround sound output (it is intended for small stereo L/R speakers in the monitor). So, you should plan to use the mobo audio output system and make either analog or digital connections between your mobo rear jacks and the amp inputs. Thus you need to tell Windows here that it should use the mobo sound Playback system.