Well the SE is like 1986 technology that predates the web. NCSA Mosaic came out in 1993.
I can't find the min spec for Mac Mosaic 1.x other than "System 7" but you could give it a try. Even Mosaic would have been mostly targeting Macs in wide deployment at the time. Those would be more like Mac II, Centris and Quadra machines with 68030s or 68040s with more RAM and built-in HDDs.
Fun project!