Gravitational field is the force per unit mass. It is given by Gm/r^2, where m is the mass of the body whose gravitational field is required and r is the distance at which the field is calculated.
acceleration due to gravity is the acceleration with which objects/ bodies are attracted towards the centre of the earth.g= F / m = GM/R^2.
Both are dimensionally the same.
Using the gravitational field the force on a mass placed at that point can be found.
Force = mass x gravtiational field.
According to Newtons second law
Force = mass x acceleration.
So usage might depend on the context.