I had a counselor just like that, all we did was talk about how I was and what I had done that week...........what I had accomplished............just nothing that I could not have talked with a friend about ever came out of the sessions and yes I gave her up.
I went without for awhile and then decided to try again and found a great one who really worked with me........about my thinking, and why I felt the way I did, how to take my sad thoughts and separate them so I could understand them better.
She taught me that my core values had been set when I was young and I had been programmed to have low self esteem and how to get past all the old baggage I was carrying with me.
I had no homework as she said the work would be done in her office and not to go home and try to drain my brain by over thinking every move I made.
She taught me to stay in the moment, and even if my mind drifted toward my old feelings of being a failure to tell myself that No, I was not a failure, that was just my brain wanting to go back to old beliefs.
I saw her for 6 months and then I made the decision to fly on my own and her door would always be open if I wanted to come back or just needed an oil change.
I hope you can find a therapist that works with you on your issues.