I'm relatively new also. What I've learned from this forum, is that the algea, either green or brown, is not going to hurt anything other than it looks bad, but it does indicate a problem.
I've read that it indicates a high phosphate level usually caused by something decomposing. Over-feeding (which I've been guilty of) would be the first culprit, or too much light (which I've been guilty of), next would be that something has croaked and is decomposing, producing food for the algea. I'll have an algea bloom that I've tracked down to dead snail or something similar. It can show up in a day! I usually find the brown stuff growing in the live sand on aquarium floor and the green stuff on the LR and aquarium glass.
After correcting the problem, I've brushed the rock with a tooth brush and scraped the glass with a razor blade.
I'm sure that someone will be able to help further. Just hang loose and your help will magically appear!
Tom K