The in-game settings menu provides sliders for the fade distances of things like NPCs, items, objects, and grass, and there's also a depth of field slider.
There are tickboxes for screen space reflections, ambient occlusion, precipitation occlusion, snow shader, lens flare, and bit render targets. You might also be interested in knowing how the Special Edition works with existing saved games and mods and in our list of the best Skyrim: Special Edition mods.
I've been messing around with the Skyrim Special Edition this evening, and along with comparing how it looks to the unmodded original, I've also got some information on the available settings and how well it performs.