From what you've described, it sounds like your therapist is using the Solution Oriented approach, which is a part of the so-called "post-modern" psychotherapy modality. One of the corner stones of it is to put the client in the driver's seat and to let them navigate their own therapy.

I am a big believer in taking personal responsibility for setting your own goals and defining what you want instead of letting the therapist do it for you, which is not really their job. So, I like the idea of the Solution-Oriented therapy in principle when the client is making decisions about what they want to work on and so forth. I don't necessarily like how they try to implement this idea. Therapists of that theoretical orientation tend to rush things and bombard clients with too many questions in one session instead of letting people follow their process at their own pace. I had a colleague who practiced this orientation early on and she lost some clients because of this strategy.

I believe it is absolutely necessary to ask a client about their goals because it's not a therapist's job to define it for them. Beyond that, questions should be asked when they are appropriate and organic to where the client is at the moment. Therapists should follow the client's process instead of pushing the client to follow their agenda.