If I have grave's disease. Am I more at risk of getting diabetes?

Maybe. Graves' disease and type 1 diabetes are both auto-immune disorders, in which the immune system makes antibodies that attack your own proteins, and cause the cells to malfunction. Having one auto-immune disorder can increase your risk of having another slightly. Since type 2 diabetes (the most common form) is not an auto-immune disorder, someone with graves; is not at increased risk for it.