You asked
Is the canon ef 135mm f 2l usm sharp wide open?
I don't have test results on how sharp this lens is at f/2, so I can't say whether it's sharp wide open. What I can tell you is that it's a prime for full frame, 135mm at f/2, and it's autofocus. The Canon EF 135mm f/2L USM page has the specs and the list of cameras it fits.
For how a wide aperture behaves in practice, see the Lenses guide, which covers what the f-number does to light and background blur. If you're shooting portraits at f/2, the Portraits guide explains how thin the depth of field gets and when to stop down.
Written by Claude from this site's pages.