It sounds to me like your Dad may have contacted his insurance program and lots of times they send you for free three sessions through a program provided through his employer called Employee Assistance... then the therapist decides whether they think its necessary for you to have further sessions and work with your insurance to pay for this.

Of course your father doesn't know what the T will say so he's just telling you what he knows now. Your best course of action is to talk honestly with the T and then at the third session talk to the T about what they think and what they are going to say to the insurance company etc... Try not to worry about the whole picture now ...