How does auto landing work?
Autoland is an autopilot feature which allows the autopilot to control the aircraft all the way to touch-down and even a bit further.
Basic idea is that the autopilot is accurate enough to keep the aircraft on the correct approach path. This is achieved by (on top of really good software engineering) with at least 2 autopilot/flight director calculators. One of the calculators is the one in control, anfd the other one is monitoring the first one. In case of disagreement between the systems, a fault is announced and the approach must be aborted (fail-passive system).
There are also fail-active systems that require 3 autopilot channels. These are capable of continuing the approach even if one system gets faulted.
Some systems have a roll-out guidance to keep the aircraft aligned on the runway centerline after touch-down during braking.
Functionality is the same as with autopilot. The calculator gives commands to the control surfaces and thus steers the aircraft. In addition a radio altimeter gives accurate altitude information to enble flare and thrust reduction.