A 4:3 monitor doesn't have overscan like a 4:3 TV, so no, it wouldn't be the same.
Basically, the TV safe zone is only an issue if you're using a CRT - most LCDs, plasmas, or DLPs show the whole image with no (or very little) overscan. But CRT computer monitors generally let you adjust the size of the screen image so there is no overscan (and usually the default setting has a bunch of black space around the image to prevent overscan anyway).