It pains me to point out the ignorance in your post, but I'm compelled, lest anyone is dumb enough to believe it.
Gravity can NEVER be defined as acceleration, whether you are talking of newtonian or einsteinian mechanics. From newton's laws :
FG = -GMm/r^2 = ma.
Notice that in the absence of a mass affected by gravity, the expression becomes undefined:
a = (-GMm/r^2)/m = (-GMm/r^2)x(1/m), undefined for m=0.
But we know gravity is there even in the absence of a mass accelerating under its influence, no? And so, there is an inherent limitation in thinking gravity as a form of acceleration. Rather, einstein viewed it as a tendency to curve spacetime, which in no way, is fatal to newton's assertions.
And so, a clear distinction is made between gravity and the force or acceleration due to gravity.