Graves Disease is an autoimmune condition and once you have it, you have it for life... A thyroidectomy would put it into remission; however, it would also make you hypo and in need of replacement thyroid hormones, since you no longer have a thyroid to produce them.
Many doctors don't understand the importance of making sure thyroid hormones are balanced after the thyroidectomy...
If you'll post your current thyroid hormone levels so we can see where you are, we'll be able to better comment on your situation. You should be getting tested periodically, for Free T3, Free T4 and TSH to make sure your treatment is satisfactory. Be sure to include reference ranges, with any lab results, since ranges vary from lab to lab and have to come from your own report.
Also, please tell us what replacement thyroid hormone medication you're on, what dosage and how long you've been on it. Please tell us what symptoms you have.
You're not obligated to tell us, but it might also be helpful for us to know some of your other health issues because of lot of conditions have the same/similar symptoms as hypothyroidism or hyperthyroidism.