With your past history with Hydra, you were infused with all their past experiments and assets to create something like never before, planned even before your birth. Unlike Bucky, you were born and raised in Hydra. All you knew was Hydra. You had no past to remember and break out of their manipulation. Hydra was your past.
After Bucky broke out of Hydra, they eventually collapsed and disbanded. You were left with nothing and nowhere to go. Before Bucky fell, you were left with a mission of eliminating him incase he did break free from the manipulation. Now that he did, you had nothing to do with all the information about Bucky.
Out of curiosity, you decided to jut meet him. See what all the fuss Hydra was making about him.