I find some of the best tasks to give an actor fulfilling the ASM role is to give them tasks specifically geared towards the cast. Things like Line notes, running orders, props tracking, sign in sheet master etc. I've found they feel more in touch with things they've interacted with as an actor, and it will require less instruction because they know what they want to see on those things and that will be helpful to both of you moving forward.
But like Matt said, that's all up to the actor hired and what they were told to expect.