Can Superman watch television?

Yes ! Even though he have the ability to see beyond visible spectrum he can adjust his vision according to his needs hence he can watch TV.

i am assuming you mean superman won't have persistence of vision, he would see 24 frames every second instead of a continuous scene he could always ask peter jackson otherwise, if he wants to watch a normal TV show, he would have to do a couple of things lets assume superman has super(near light) speed. and infinite zooming capability all he has to do is position himself from the earth at a distance depending on the length of the show. then focus on the screen from there. as soon as the show begins, fly towards the earth at a speed such that his eyes run into the light coming from the next frame before his brain has processed the previous frame. that will give him persistence of vision. superman ought to be careful of entering the atmosphere at such a high speed as he might end up burning all of it

I would imagine it would be like watching a flipbook to him. He must be able to see things "Faster" than we can, since he has reflexes to match his super speed. Hence, thinking that what is smooth for us is smooth for him is a big assumption. However, even if something is not smooth, doesn't mean you can't interpret it. For a rather extreme case, look at the cave painting scene from ice age. The images change very slowly, but we have no problem following the motion. He also has a much wider vision spectrum than us, which would make a display geared towards human vision look flat. The colors beyond that spectrum are not shown, so it would look like a false color image. If his view is too acute, then he might even be looking at the individual rgb elements on the screen, rather than having them blur together to form a color. Even if they did, the blending of those wavelengths may not be particularly meaningful to him. RGB is tied to human color detection, and an alien's vision may key into different wavelengths.

After a lifetime of living with it, he would be accustomed to the effect and would find it no more difficult than we find reading a graphic novel, which is, after all, a series of not-moving pictures and some dialogue. He wouldn't be fooled into thinking it real, but I'm not fooled by what I see on TV either.

1]Television does not "fool the optic nerve". Images relayed in a rapid sequence ( at approximately  60 images per second  ) are cognitively interpreted as motion by the brain. 2]Like your fictional character, dogs are in fact better at detecting motion than humans. Studies demonstrate that they can see the images displayed on tv. However, they may not have the same incentive to watch TV as humans.