re: To see the Earth as it truly is
Yup:
"The Earth-Sun L1 point is one percent of the way to the sun, four times the distance from Earth to the moon, or about one million miles away from Earth. The solar wind reaches L1 about an hour before it reaches Earth, making it a good place to observe changes in solar activity before it affects Earth."
http://triana.gsfc.nasa.gov/instruments/lagrange.htm
So it would have about four times further away. The view from the Moon [especially the polar regions:] will be better.