the video explains that pretty well, but it does assume the viewer has some knowledge about movement systems already.
I don't know what exactly you struggle with. The system is pretty basic in my opinion.
If you have specific questions, just ask those. If you want to watch more tutorials, any Godot4 TileMap tutorial works. Whether its about moving with WASD or with mouseclicks. All will apply to what you see in the Game you linked.