Presumbaly the camcorder is digital and not some old analog model?
If it is an old analog model you will probably need to buy a capture card or box, for your PC into which you can plug the cable you have.
If it is digital then you should be able to get leads which can go from your camera to your computer using firewire or USB. Again it will depend on the age and configuration of your computer.
If your PC has widows XP, then you can use Windows Movie Maker (included with XP) to capture and edit your movies. Otherwise you may need to buy a third party product such as Pinnacle Studio 10.