Depends on the semantics of "blind". The eye doesn't just completely turn off, but it will have severely decreased vision, and the person may only perceive stuff with it when the good eye is closed.

Brain science is still new and not fully understood, but there are groups of neurons in the brain called ocular dominance columns that light up when one eye or the other is stimulated. In most people there are equal numbers of ocular columns for each eye. But in brains that had a bad eye during infancy, most of the ocular columns will be linked to the good eye. In other words, the brain literally rewires itself to be essentially one-eyed.