No; you do not need a license for CB/SSB operation.
But I would heartily advise that you get a SSB radio; they are just plain more useful and versatile than a non-SSB radio - IMO
Did you mean the Galaxy 959 AM/SSB radio? They are OK; they tend to drift off-frequency on SSB - kinda annoying. I have a Galaxy DX-99V; it drifts a lot until warmed up. Other than that it is an XLNT radio. The Magnum radios like the Magnum 257 or Magnum OmegaForce S45 don't drift at all - or very little at the most. Cost more - tho - but worth it - IMO...