Earlier quoted context omitted.
Imagine being inside of a closed box like an elevator. Without leaving the box there is no way to tell the difference from being in free fall towards Earth versus floating in interstellar space. Therefor, general relativity take the perspective that gravity is a fictitious force (like centrifugal force) that arises from the shape of spacetime.
>versus floating in interstellar space Versus being inside that an elevator that is being accelerated in interstellar space This seems like a pretty good explanation: http://www.astronomynotes.com/relativity/s3.htm
Free fall feels like floating Standing still (in the presence of the Earth's gravity) feels like being accelerated.