Completely this.

If I teleported here from the 90s, first thing I'd need to wrap my head around is how HTML and CSS have changed. I'd be learning a responsive framework (or even hand-rolling it, so you know how it works) like bootstrap. And doing a very basic website.

And if html5 & responsive css aren't enough to wrap your head around at once, I'd create a github account, and start with github pages. That'll let you use the static site generator Jekyll. The combination of all three will do pretty much all you need for 90% of the sites out there.

After that, then I'd look at a stack that lets you have some degree of interactivity and persistence in order to build web apps.... But for now, clean responsive websites would be the way forward.