network setup

I think this is the right forum for this -- apologies if not... I have an Arris TG1672G cable modem (with integrated router) from Time Warner/Spectrum. They are charging me $5/month for "wifi" and I decided I would get a separate router to put behind the cable modem and discontinue the Spectrum...

Is there a way to require students to log in by user name/ID to access the internet at a private school. We currently have no budget to set up a full blown server / workstation system. We need to track student's online activity as well as restrict access to only necessary websites...