As already mentioned, if you just want your web browser to tell you, the asus is configured to do this automatically by default. You'll get a page saying WAN is down. However it requires a physical link down by default. You can change this under administration - system and enable ping or dns lookup for network monitoring so even if the physical link is up it will detect a "soft" failure.
However most OSes will detect the outage themselves and the asus redirect won't work as they will give their own message that the internet is down before even attempting to go out to the internet, so that feature has been somewhat obsoleted by most OSes.
If you want to monitor from a PC, pingplotter to 8.8.8.8 or google.com will work. Even if it drops a packet every now and then that will be easily distinguished from a real outage of many dropped pings.