Trick question. Because the moon rotates on it's axis at the same speed it rotates the Earth we are only ever exposed to one side of the moon. All of the moon receives sunlight in the same manner as the Earth. We just can't see it rotate from here.
There are two parts of the moon that are seen in shadow; the penumbra; faint outer shadow, where partial eclipses are seen. The other part is the umbra; dark inner shadow where total eclipses are seen.