If it’s nighttime (which lasts for two weeks) and you’re on the far side of the moon - then you’ll see a pitch black sky studded with more stars than you’ve ever seen. Depending on the time of year - you’ll also get an astounding view of the Milky Way as a faint “splash” of white light across most of the sky.
If it’s nighttime and you’re on the “near” side of the moon - then the view will be kinda similar - except that it’ll be dominated by the Earth - which will go through phases over 28 days just like the moon does from our perspective. The Earth won’t track across the sky though - it’ll remain in almost the exact same position all the time. You’ll see the Earth spinning slowly on it’s axis - moving at half the speed of the hour hand on a clock. You’d be able to tell the time just by watching which continents you can see!
If it’s daytime on the moon (which lasts for two weeks) then the sun will be the brightest you’ve ever seen it - and against a sky that is still completely black. The brightness of the sun and the lunar landscape will likely dazzle your eyes and make the stars much harder to see than you might expect - but you’ll still see stars when you look away from the sun and up into the sky and give your eyes time to adapt. And (as described above) the Earth will be ever-present if you’re on the near side of the moon - or never visible if you’re on the far side. But you’ll never see a “full Earth” - it’ll always be a crescent or a “new” Earth (like a “new moon”. If you’re really lucky - you’ll see a solar eclipse - with the Earth blocking your view of the sun.
In all cases, the Earth will look MUCH bigger than the sun or the moon does from here on Earth.