Hi Baba, management of Graves disease is usually pretty straightforward, although a little protracted.
Three treatment options are available, drugs, radioiodine and surgery.
From what I've seen, treatments tend to be very successful, but usually "overdo" things slightly, resulting in the need for replacement thyroid hormones eventually. (It's likely that you will have to take a thyroid tablet daily for the rest of your life, and have your blood levels monitored every year or so.)
I guess that your physician is adopting a "wait and see" approach, which is reasonable.
Obviously you need to discuss things with your AME, but Jetney's post suggests that this shouldn't pose too many problems.
Hyperthyroidism can often cause problems with the eye's, and from a pilot's point of view, I guess that it is essential that your symptoms are monitored very closely at this stage, and it may be worth gently reminding your endocrinologist of the importance for a man in your position.
Keep us informed
