The difference between the two terms is that the gravitational force is the force of attraction that pulls the objects toward each other. Whereas, gravitational acceleration is the acceleration found in a freefalling object that results due to gravitational force.
Let’s deep dive to know the difference.
In this article:
Gravitational acceleration:
Gravitational acceleration is commonly observed during the free fall of any object. It is always directed in a normal direction toward the center.
If you drop a pen from the table, it will fall with a certain amount of acceleration. The force responsible for the acceleration of the pen is the gravitational force and the acceleration gained by the object is the gravitational acceleration.
Gravitational force:
It is a force that attracts the object toward its center. It generally acts in a normal direction to the surface.
When we pick something up from the ground, a force resists the object’s upward motion. That force is a gravitational force acting on that object.
Our weight is a simple example of understanding the gravitational force.
Difference between Gravitational Acceleration and Gravitational Force:
Sr. No.  Gravitational acceleration  Gravitational force 

1  It is the acceleration of an object during free fall due to the effect of gravity.  It is the force of attraction acting on the object under the influence of the gravitational field. 
2  It never depends on the mass of the freefalling object.  It is mass dependent. 
3  It results due to the gravitational force.  It is a reason for gravitational acceleration. 
4  The unit is the same as acceleration, (m/s^{2}).  The gravitational force has an SI unit of Newton. 
5  Example: Acceleration of the freefalling object.  Example: Weight of the object. 
FAQs:

How gravitational force and gravitational acceleration are related?
The relation is given by,
Gravitational force = Mass × Gravitational acceleration. 
Are Gravitational force and Acceleration due to gravity the same?
No, both are different terms, gravitational force is a force while acceleration due to gravity is acceleration.