Depends if it's a CRT or LCD but either way, an exposure of 1/30 or longer will avoid most refresh artifacts.
If it's a macro shot, you're only going to see an inch or so of screen. Just meter that little bit of screen and shoot; assuming it's a white image then give it +1 or +2 (especially on neg film) if you want it to look nice and bright instead of middle grey. Chrome is a little more difficult once the image resolves individual colour elements because if you meter the average to be near white then each colour cell will be way overexposed in that one dye layer, though that might look good. It's definitely easier to do this with negative.