In a word, yes. By the series finale of The Vampire Diaries, both Nina Dobrev's Elena and Ian Somerhalder's Damon were human, living a happy, married life.
The series somewhat glossed over the details with more of an "And they lived happily ever after..." approach, but there are a few things that were confirmed, whether in the finale or later in the spinoff shows. Elena became the town doctor, pursuing the path of medicine she always wanted. She and Damon lived a long and happy life together, and had multiple kids: Jenna, Sarah Lillian, and a son, Grayson.
In the spinoff series Legacies season 1, it's also mentioned that they have another daughter named Stephanie, albeit in an alternate timeline.
The first person to get the Cure in The Vampire Diaries was Katherine Pierce, who loved being a vampire and received the Cure against her will.
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