That is how the Cyber-Cafe software works. It creates an account for each user, limited to time that they paid (set up each account to have 30 minutes of Internet time per day for example) and logs all of their activities on the Internet. Hmmm, not sure if it can track what programs they run, sounds a lot like "Big Brother" to me.
Another way, if without that software, to only allow them to use the computer under adult supervision. As in you sit next to them and watch, otherwise no use of the computer. Keep it under lock and key and never give them the system password. Get a case key that locks the keyboard or won't boot without the key turned to unlock.