Does anti-matter experience anti-gravity?

No. Mass or anti mass is a source of gravity, regular plain vanilla gravity. Although the general theory of relativity does show cases where antigravity (repulsion) is possible, they are very rare cases...like shortly after the big bang for example.

Antimatter when accelerated in accelerators, has a scalar mass. It does not tend to accelerate counter to the applied force / field.

Since gravity is not a force, just the shape of spacetime, and the "laboratory" is being forced upward off its force-free path by lithospheric friction, then it is to be expected that the force-free path of antimatter will be "downwards, just like normal matter".

But nevertheless, someone is setting up to perform the experiment, to see if there are significant variations:

http://arxiv.org/abs/1607.07434

So the answer today is: "No, we really think it will behave just like normal matter, but we are going to check it anyway."

No. Anti-matter acts the same as normal matter, except all the electrical charges are reversed. Anti-hydrogen has a negatively charged nucleus and a positron whirling around it, for example.