Did the woman at the well make a change in her life, and if so what kind of change did she make?
After the incidence at the well, we are told, "From that city many of the Samaritans believed in him because of the word of the woman, who testified, "He told me everything that I did. So when the Samaritans came to him, they begged him to stay with them. He stayed there two days. Many more believed because of his word. They said to the woman, "Now we believe, not because of your speaking; for we have heard for ourselves, and know that this is indeed the Christ, the Savior of the world."" (John 4:39-42). This all we know. The woman is not mentioned again.
I would seem that since she was telling others about the Christ that she personally believed in him, but there is no direct statement in this regard. Nor can we assume anything else about her life.
We know that when someone truly believes, then that belief is seen in the changes in their life. "What good is it, my brothers, if a man says he has faith, but has no works? Can faith save him? And if a brother or sister is naked and in lack of daily food, and one of you tells them, "Go in peace, be warmed and filled;" and yet you didn't give them the things the body needs, what good is it? Even so faith, if it has no works, is dead in itself. Yes, a man will say, "You have faith, and I have works." Show me your faith without works, and I by my works will show you my faith. You believe that God is one. You do well. The demons also believe, and shudder. But do you want to know, vain man, that faith apart from works is dead? Wasn't Abraham our father justified by works, in that he offered up Isaac his son on the altar? You see that faith worked with his works, and by works faith was perfected; and the Scripture was fulfilled which says, "Abraham believed God, and it was accounted to him as righteousness;" and he was called the friend of God. You see then that by works, a man is justified, and not only by faith. In like manner wasn't Rahab the prostitute also justified by works, in that she received the messengers, and sent them out another way? For as the body apart from the spirit is dead, even so faith apart from works is dead" (James 2:14-26).