Without diving into complex modern things like WebSockets, there's no way for the server to 'push' a notice to a web browser. What you can do, however, it make the client check for updates in a way that is not visible to the user.
It will involve writing Javascript & writing an extra file. When writing your main webpage, add, inside Javascript, a timestamp (Unix timestamp will be easiest here). You also write that same timestamp to a file on the web server (let's call it updatetime.txt). Using an AJAX request on the page, you pull in updatetime.txt & see if the number in the file is bigger than the number stored when you generate the document, refresh the page if you see an updated time. You can alter how 'instantly' the changes get noticed but controlling how quickly you poll.
I won't go into too much detail on writing the code but I'd probably just use $.ajax() from JQuery (even though it's sort of overkill for one function) to make the calls. The trick to putting something on a time in JS is setinterval. You should be able to find plenty of documentation on using both of them already written.
