Internet sharing using a USB hub

Currently a have cable modem attached to PC1 via USB.
Wife's getting fed up of me nicking PC1 to go gaming at a friends during the week so going to get her a PC too.

Thoughts were to plug both PC1 and PC2 and the USB output from the modem into a 4 port USB hub.

Will they talk to each other or more specifically could PC1 still get access to internet and could PC2 get access to the internet ?.

Only PC1 or PC2 will be on at 1 time accessing the internet.

Thanks for answering.

I was trying to find out if there was any other option to a router.

I was hoping to avoid having to buy a router until the kids were a bit older and would want internet access at which time (currently 6 1/2) i was going to go wireless.

Was hoping to get round the issue in the short term by the USB hub route, so back to the orginal question, would it work ?

Thanks.