Connections to web-servers are not persistent... that is the connection only lasts as long as the request for a specific page (things are actually more complicated than that on a couple of levels, but for this conversation that simplification works). So the closest you can come to that is to watch the server log for connections. By default it is at: /var/log/httpd/access_log
You can use the 'tail' program to watch this... but it is not very convenient to watch. There are a lot of tools out there to analyze these logs.