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I think it's quite pretty, and not silly-sounding. Maybe a bit strange in an Anglophone setting, but not silly.
For the second question, it really depends on the G surname. If it's on the longer side, or is Italian, I think it might sound too similar to Galileo Galilei, but if it's short and non-Italian (say, Galileo Greer), I think that's okay. Obviously, that wouldn't apply if the kid were in Italy - I wouldn't know what the associations would be there.