The image of the client recumbent upon a couch whilst their therapist sits behind them scribbling notes dates all the way back to Sigmund Freud, the father of psychoanalysis. He had his reasons for working this way and I believe that some psychoanalysts still operate this way.
However, this is not how I or most counsellors work today. I practice from counselling rooms in the centre of Exeter and for the most part we will sit facing each other in comfy chairs. However, I am always open to changing things around where it might be helpful. This might include sitting or lying on the floor, standing or moving around during sessions. Whatever works best for you.