If you want to listen to you DVD player through speakers you will have to have a reciever to do that, a surround reciever to get 5.1.
Yes you can hook up your receiver to your computer. If you have a sound card with a digital output, and a DVD player in your computer, you can get 5.1 sound from that. I have mine set up that exact same way, I hardly ever use my computer speakers anymore. I listen to internet radio and play games using my home theater speaker system.
If you have a sound card with digital output, you will need a mini jack to RCA plug wire. Run this from the digital out on your comuter to a digital in on your reciever. You will probably have several digital inputs on your reciever. On the front of your reciever, set to the matching input. On your computer sound card control panel, set to Digital Output Only. You should then have digital output to your reciever.
You can also use the analog outputs of your sound card for stereo or surround, but surround requires running more wires and a reciever with the appropriate inputs, digital would be a lot better.
Take note that if you set your computer sound to Digital Output, you won't hear anything over your computer speakers, as long as you have it set for Digital Output.