The inky impression is not a system display, i.e. the usual programs cannot use it. There is a dedicated driver library, which mainly does the following: it creates a “canvas” image and then paints/writes on it and finally displays the result. This is totally different from a normal system display (framebuffer or X-based).
Also, these large inkys shouldn’t be updated often (every 15 minutes is often in this respect!).
This does not mean that you cannot display a (static) web-page. But you have to somehow fetch the content as an image and then display this image on the page.