No. Te moon revolves around its axis, and one revolution takes a bit less than a month. During that month it experiences the same phenomena regarding the sun, as the earth does in a day: it rises and sets once.
The moon orbits the earth, one orbit takes (indeed) a bit less than a month.
The combination of the two movements above results in the same side of the moon visible from earth at all times. This side is sometimes dark, sometimes lit, in a pattern repeating itself each (indeed) period a bit less than a month.