MissCharlotte, there is no rule about how much notice to give. You are paying for his services, so you can stop that at any time. With my previous therapist, I just stopped going to see her one day. I never mentioned it and didn't plan it, I just never returned. Now I wish I had not done that, that I had told her at least the day of my last session that it would be my last and why therapy with her was no longer helpful to me. It would have been more adult and considerate for me to do that, and given myself a greater sense of closure.
I would think carefully about the emotional consequences for yourself, MissCharlotte, if you terminate abruptedly. Is one session really enough, given the depth of your relationship with your T? Make sure you give yourself enough time to work on this in therapy, process it, etc. It may take only 1 session, or maybe 10. But please don't shortchange yourself. This has been such an important relationship in your life, can it be ended in an emotionally satisfactory way in only 50 minutes? You say that two weeks would be unbearable. Why? That says to me you anticipate a lot of pain that cannot be resolved in one week. You deserve to give yourself as much time as you need with this.