People who have visual snow will see lots of small bright and dark dots moving across their entire visual field, it is just like what appears on a TV when it stops work. It is much similar to floaters and there is nothing can be done about it.
With visual snow you may see hundreds of tiny flashing lights on a black background, it is just like the snow you see on a TV channel that is not working. There is not an official name for it and is described by people who suffer from it.
Many visual snow sufferers also experience: Tinnitus, Blue Field Entoptic Phenomenon (including on backgrounds other than a blue sky), Increased After-images/Palinopsia, Halos, Starbursts, Scotoma, Migraine-aura-esque visual disturbances.