Looks like brown 'algae', which is actually diatoms.
Does your tank have nitrates? Fish waste? Uneaten food?
It's harmless to fish, although can smother aquarium plants if allowed to get out of hand.
Given that your chosen decor is white, it'll be very, very obvious.
NOTE that this is one algae that does well in low light, so reducing light in your tank will not remove this stuff.
The tank has to be properly cycled to the stage where any ammonia is turned into nitrites and the nitrites are turned into nitrates. The brown algae loves nitrates, so a clean tank is essential to limit these. Real plants would also compete with the diatoms for the nitrates and, for real plants, good lighting is a must.
Some fish will enjoy eating this, although if you go this route, please be sure you can fully meet the needs of the fish in all respects.
NOTE as I've already mentioned, brown algae does well in low light and less well in good light, although aquarium plants like the better lighting.