Ummm, yes, we do get to see it, after it has been converted to more pilot useable presentations such as Pitch Limit Indicators (Eyebrows), Low speed indication on the speed tape, plus a few hundred other functions, some of which you probably don't want to encounter, such as Stall Warning etc.
A day is a unit of time. In common usage, it is an interval equal to 24 hours. It also can mean the consecutive period of time during which the Sun is above the horizon, also known as daytime. The period of time during which the Earth completes one rotation with respect to the Sun is called a solar day.
A solar day is the time it takes the Sun to return to the same position in the sky. The exact length varies slightly over the course of the year, because the Earth's orbit around the Sun is not perfectly circular; the tilt of the Earth's axis with respect to its orbit also has an effect. See the linked article for details.