For the moment, until the next state mandated revision, Facebook has a Page I can use to track #1 son's Facebook activity with a URL of the form <https://www.facebook.com/first_name.last_name.2345/allactivity>. 
It's currently called the 'Activity Log', if you poke around you can currently find it under 'Privacy Shortcuts' (lock icon by user name in title bar) / "See More Settings" / "Privacy". Look under "Privacy Settings and Tools" for the wee link 'Use Activity Log' .
As far as I know it's not intended for this purpose ; it's designed for users to edit their visible timeline  . It does, however, list most of the account owners save pages visited. There's a long list of activities including Posts, tags, hidden posts, likes, comment, friends, games, following, and, most critically for this purpose, Search. 
So the Activity Log is a very valuable resource for a parent or guardian who wants to track their 13+  child, either because this is an exceedingly good idea or because they are that kind of parent or both . A parent might, for example, schedule a weekly review of the Activity Log...
- fn -
 It doesn't, however, show pages visited by link. It is, incidentally, a nice summary of a fraction of the information Facebook uses to sell you.
 Activity Log came with timeline, but I was unaware of it until today. It's available on Facebook.app for iOS as well.
 But it may be designed for this purpose. Facebook wants to support accounts for childre under 13 and this could be a part of any future support.
 If you can't figure out why this might be a good idea for some children and adults you have much to learn.
 Yes, that's mine - but if you can see it then I have a problem :-).