Concur 100% with Liz1967 that diet will NOT cure your Graves’ – whatever website is claiming this is true is putting patients at extreme risk.
The first year after I was diagnosed, I went on an extremely restrictive diet (in addition to taking methimazole and having regular visits with my endocrinologist) – no gluten, soy, dairy, eggs, etc.. Quite frankly, the only thing the diet changes did for me was cause extreme stress! Other patients report that they do feel better with diet changes in conjunction with conventional medical treatment.
Eye problems can occur before thyroid dysfunction, after treatment, or not at all. If you have no symptoms, great, but this is just something to be aware of. For some patients, their first eye symptoms (swelling, grittiness, dryness) appear months or years later – and they end up getting misdiagnosed as having allergies!