This site enables quick access to the built-in PlayStation 5 web browser. Just send a message to someone with PS5.chat in it, and then you both can open the Internet browser from the message.

Select Options → Pin to Side to keep pinned. Press PS to switch away instead of ○, which sometimes goes back.

Press PS and choose Internet browser to return to this screen.

More tips:

DRM is not enabled, so music streaming services (e.g. YouTube Music) won’t work.

Settings can be found in the PS5 Settings → System → Web Browser.