Hi jack, Welcome to
Cable forum
First off, I presume in both of your PC's you have NIC (Network interface cards) to connect to? These card's have to have drivers installed themselves, in order for your OS to be able to communicate with them. So yes, drivers are required for the NIC cards.
Secondly, You plugged the ethernet cable (Has to be Straight Through Cable, not Cross over).. from your Cable Modem, into the WAN Port on your router?
You should then plug 2 Straight through ethernet cables from the LAN Ports (One of the four seperate ports on your router) directly to your PC.
Boot up the router, turn your PC on, and should work pretty much straight away
If I've missed the point entirely here, just post back!