I don’t see any pictures to evaluate your situation but at 4 months the greening of the surfaces in a marine environment is not unexpected. It could be coralline algae or green slime or hair algae’s starting to develop and a year from now the tank will still be doing its thing unless you tear it down because you don’t want green stuff in your reef?
Add pods and snails for increased diversity if you haven’t already?
Hth!
EDIT: now I see what you mean. How long do you have your lights on each day? Something is starting to grow where the light is brightest and it looks like a good start, probably green hair. Perfectly normal for a new tank to get started with some life on the bare substrates.
How long? Eventually the rock will be covered with coral or coralline algae but the time it takes to get there is unknown to me.