For that I would rather recommend a terminal browser like lynx, w3m or links2 in example. curl is more like a single web request to download one piece of raw file (an html page or an image in example). It is not meant to interpret websites and display results. If you want save webpages for offline view, then something like wget.

The modern internet isn't designed to be interacted with via a terminal.

So much of the internet today runs on JavaScript and curl won't run that