Provide a custom browser with NO navigation abilities, make it full-screeen, set it to come up on login/boot, and lock down system security so it can be circumvented.
Then wait for someone to hack around it
In Windows, the easiest way is probably to hack out some sort of minimal VB app that has the MSIE ActiveX control serving as the browser window.
I presume this is supposed to act as some kind of kiosk, and I'm taking a simplistic approach because unless a page has EXACTLY the same contents on it all the time, it's not REALLY the "same" page - at best it just has the same URL.
Of course if it really WAS immutable, you could just stick a painted image over the monitor