Question

what is the difference between acceleration and acceleration due to gravity

Answer 1

acceleration due to gravity is the force by which the earth pulls everything to it's surface
which is roughly 9.8 m/s2
acceleration is the force by which the body starts moving

Answer 2

Acceleration is quantity which tells us at which rate velocity is increasing or decreasing. It acts on body in motion..

Acceleration due to gravity only acts on a free falling body from a height to earth or it resists the velocity when a body from earth is going to certain height.

Its SI unit is meter per second square