Dark side of the moon.
The Far Side
near side
The Dark side of the moon. Note that this is a slightly poetic name as unless we see a Full Moon, it does receive light from the sun.
Because it never faces the Earth.
The side that's visible.
That's the "far side".
Correctly . . . the far side. Incorrectly . . . the dark side.
Generally, yes, just as we see the moon when it is "up". Earth can be just over the horizon of the moon, or straight up, depending where you are on the moon. The same side of the moon always faces the earth, so from the far side, Earth can never be seen.
Just like the earth, the moon has a side that faces the sun (day) and a side that faces away from the sun (night). During a full moon, the side of the moon that faces the earth is lit by the sun and appears in daylight whereas the side of the moon that faces away from the earth is in shadow (night). During a new moon, the opposite is true. The side of the moon that faces the earth is in shadow (night) and the side that faces away from the earth is exposed to the sun (day).
The Moon is tidally locked to Earth; the Moon's "day" and the Moon's month are the same length. So the "near side" of the Moon always faces the Earth, and the "far side" always faces away from Earth.
It is sometimes called the dark side of the moon. It isn't really dark all the time, either. It's just that we never see it from earth. The same side of the moon faces the earth all the time.
Yes you do, when the unlighted side of the moon faces you, the fully lit up side is facing the other direction, away from Earth.