So what I need to know is how find out who has been visiting what websites when through the router. It is similar to being able to History on browsers, but people can clear their history, or use Incognito mode. However, surely any data would be sent through the router so even if the person did clear their history or use incognito mode, you would be able to see what they had sent through the router, and what the internet had sent back.

Is there any way to view all the connections that the router manages, and store all the data that it sends and receives and put them into, for example, a log file so I could view which computer had viewed what website at what time?