Not only can dim objects not be seen but the bright moonlight quickly fogs photographic film making photography of deep sky objects impossible. One of the major advantages that the Hubble Space Telescope has over land based telescopes is that, being above the atmosphere, it has no such problems. As long as it is not pointed directly at the Sun or Moon or Earth, it sees only black sky because there is no atmosphere to disburse the light. The other thing that surprises the inexperienced is the fact that the most boring moon is the full moon. Detail on the moon is seen by virture of contrast.
Strong shadows make mountains and craters stand out in high relief.
Full Moon is Noon on the Moon and there are no shadows and as a result, nothing much can be seen through a telescope. Having said all that, the Moon is certainly the most interesting object we can look at with a telescope in terms of detail available. We just need to plan on viewing a particular detail at the time when the contrast is best and of course when there is sunlight on the detail. It may also come as a surprise that much of today's amateur moon imaging is far superior to even the best professional photos of a decade or two ago. The reason for this is the CCD revolution.