People always advise their friends and family to get up and watch the sunrise. That's a great idea, because experiencing the world early in the morning when she's waking up can be a magical and inspiring experience, but don't neglect the full moon.
You get 365 chances each year to get up and watch Father Sun, in russet mantle clad, climb yon Eastward hill, but Mother Moon only grows fat once a month, so the next time you know she'll be full, grab a telescope, some binoculars, or a person you love and head out into the back yard for a look.