Short answer- use the black 'breathable' weed guard cover, but only if you have a serious weed problem, and consider rolling it back immediately prior to planting out.
Long rambling screed-
I covered about half of my garden last season with the black breathable landscaping stuff, but that's only because it was given to me free
There are different opinions on whether to use clear or black- I forget what the exact theories are, it's something like 'use clear because the sun comes in, warms up the soil and allows the weeds to germinate but they get choked off under the clear' versus 'use the black, because the black collects the heat of the sun but doesn't allow sunlight to penetrate so the weeds never germinate'
Both theories sound plausible enough I suppose- so does the theory held by many that any sort of non-mulch cover will not allow rainwater to evenly soak through the soil and will restrict oxygen absorption. I've seen some incredibly productive gardens grown by people who subscribe to each of the differing theories.
That all being said- and now that everyone including myself is sufficiently confused- my plans for this year are to cover the entire garden with the (free) black landscaping when there is still snow on the ground in order to speed up the thaw, melt the snow early, and hopefully get the weeds that completely overwhelmed me last year to sprout early. Once they've sprouted up a few inches, I'm going to employ a scorched earth policy with a few tanks of propane. Depending on how malevolent I feel, I may then cover up with the black again for a few days to lure out any other weeds (AND SLUGS, AS GOD IS MY WITNESS I HATE ME SOME SLUGS) to burn up again prior to planting out.
I don't know whether I'll keep the covering on after planting or not- I would rather not, since I know that even the 'breathable' stuff does not allow even water absorption (you can see water pool up in spots when it rains) but if I have weeds like I had last year, I may have no choice but to cover up.