Interesting question
The trick in this one is neuro development. A blind man's visual system would be pretty much useless. The area of the brain that would have been used for it will have no doubt been specialized for something different, likely other senses.
So, a very important question would be, how much sight does this person recieve?
The visual system is not set up perfectly when you are born. Your brain continues to develop, and it is ONLY because of the environment that we live in that we can discern the objects around us. For instance, if you put kittens in a box that has no horizontal lines, they will be unable to see them properly when they are older. So in a very specific answer, no. Just turning on the sight of a person whose brain has developed to being blind will not let them distinguish between a cube or a sphere. In fact, they would be lucky to EVER see, let alone distinguish 3 dimensional objects. (this is a little off... if they had YEARS to develop, they may come out with fairly decent vision, provided they are still young enough).
However, if we assume that he is given the equivelent of a fully functional adult visual system (with no loss to other functioning) then clearly he could. This is because both touch and visual information go through a region of the brain called the thalmus that would activate similar "corner" or "round" receptors in the somatasensory and visual cortecies. This is really only possible in a though experiment like this, as there is NO POSSIBLE WAY that someone born blind would have the proper visual receptors for "corner", and even if it did, there would be no association in the thalmus and other regions between physical "corner" and visual "corner"