the IT Dept monitors all the computers for downloads and visits to improper and apostate websites
It would be straight-forward for Bethel to monitor who visits their sight, but all they will have is the IP address. This is not as revealing as it sounds. More than one computer can be using the same IP address. Even if they somehow knew from which computer their site was accessed, this doesn't mean they know who was using it. All they will have is a rough idea where in the world the visitors access the Internet from, what spec their computer is, etc.. They cannot take your internet service provider to court to obtain your name and address. Neither do I expect they have the expertise to hack computers or collect credit card details to find out people's names.
As for the monitoring of apostate sites, are you sure your relative is not embarrased not to have a real job and trying to sound cleverer than he is, or protect people by trying to frighten people away from 'dangerous' apostate websites?
The apostate websites are not on the Watchtower servers (the JW.org website actually runs on a secure army databank - very strange!), unless this JW.net site etc. are a weird tactic to grow the organisation, or track apostates. Basically, you can only monitor visits to your own website/servers. Bethel won't have a clue who is visiting apostate sites. They are not using visitor details to send round elders. Even if this site was a trap run by Bethel to catch the IP addresses of apostates, they won't really be able to do much with the information.
They only recently managed to tidy up their website, and implement latest technology - it previously looked very dated. There is no Watchtower Library app, most publications are still used in paper form (probably because most JWs have no uni-educated, low-paid jobs, can't afford a tablet) - I don't think they the Bethel programming team can be large or highly-skilled.