What is the difference?
One is talking about actions in the past and the other is about a feeling.
Used to + base verb
I used to run everyday at the gym.
She used to eat cake and watch TV every afternoon.
They used to play musical instruments when they were children.
This talks about a habit or series of actions that happened in the past that do not happen any more.
Be used to + noun (or noun phrase)
I am used to the cold weather. I live in Alaska.
They are used to taking tests every day. They have been studying like this all year.
We are not used to the loud noise in the city yet. It takes time to get used to.
This usually implies that at first, something was difficult or different, but now (after a certain amount of time) it feels normal or familiar.