For all intends and purposes, LOD and its generation works the same for each supported game mode.
Obviously different versions of the requirements need to be downloaded and installed.
Generally refer to the Skyrim Special Edition / Skyrim Anniversary Edition documentation. The game mode is SSE.
On September 29, 2022 Skyrim Special/Anniversary Edition was released on GOG.
SKSE64GOG and DynDOLOD DLL have been released for the latest runtime 1.6.659.
Refer to the Installation Instructions.
Use the -m, -p and -d command line arguments to set the INI, plugins.txt and Data paths when starting the tools. For example:
-m:"c:\Users\[USERNAME]\Documents\My Games\Skyrim Special Edition GOG\" -p:"c:\Users\[USERNAME]\AppData\Local\Skyrim Special Edition GOG\plugins.txt" -d:"c:\GOG Games\Skyrim Special Edition GOG\Data\"
Replace [USERNAME] and the INI and Data folder paths accordingly for the actual setup.