Not the water-based activity, the style of ambling round Internet where the waves take you.

Web surfing.

• Neocities is a free web host that has a nice page for browsing sites hosted there neocities.org/browse
• Nekoweb is another free web host nekoweb.org/explore
• StumblingOn sends you a random page from their directory.
• The Tildeverse is a collection of publicly accessible computer systems, whose users typically publish their own web (and non-web) sites, and have community-building features like chat rooms and forums.
• A Webring is a way to connect pages that are related in some way. They usually require the page to put a section that will link to other pages in the ring.
• Web directories are curated listings of websites, often categorised.
• Link pages are personal lists of websites on people's homepages.
• You could try your luck with a Search Engine.