Wayland is the successor to the X server (X11, Xorg) to implement the graphics stack on Linux. The Wayland project was actually started in 2008, a year before I created the i3 tiling window manager for X11 in 2009 — but for the last 18 years (!), Wayland was never usable on my computers. I don’t want to be stuck on deprecated software, so I try to start using Wayland each year, and this articles outlines what keeps me from migrating to Wayland in 2026.
You can get a third-party compositor such as picom or distros such as KDE Plasma will come with their own. They can cause problems in my experience, do not recommend using them.