While it "may" be possible for thyroid function to improve and remove the need for therapy (meaning your body makes enough so supplemental is not necessary to maintain normal levels) I have not run across people that have experienced that scenario. Each person is individual in their journey (myself included) as to how their body uses and responds to the supplemental medication. Here is an article that can help you with goal setting for a healthy lifestyle with this new diagnosis.
Eating with Hypothyroidism
Manage Symptoms with Diet and Exercise www.sparkpeople.com/resource/nutrition_art
You will also find great support and information regarding what has been helpful to many of our members that are thriving with thyroid disease in one of the many Spark teams. www.sparkpeople.com/myspark/groups_subcate
If you have not checked out this site, there are some great tips and information you might find helpful as well. nahypothyroidism.org/
Hope that helps.