i looked into the description’s product and it says that it works for Gopro Hero 1/2/3. Then, I am not pretty sure if it is going to work with yours. This product already comes with an installed driver that you only have to configure. Performing the control with the arduino would imply disconnecting your controller and making the direct connection to the motor (I’m not very clear how the internal wiring is).
However, if you are interested in the connection and configuration of the product, I leave you this tutorial that I found on the Internet.