To ask whether or not a trans person is the same person post-trans, the answer is more nuanced than a simple yes or no. This is how I describe it by analogy. You are a mechanic in a workshop that's part of a retail chain, and a new employee joins the company, in May. For argument's sake, it's a guy. You talk to him a bit in the lunchroom, and you find that he likes Fords and Toyotas. And that's mainly what he talks about. Then, the Christmas Party is coming up, and you ask if he's coming. It's open to partners, and you ask if he's bringing a partner and he says yes. So, you wonder what she'll be like. He walks into the Christmas Party with another guy and he says, "I'd like you to meet my partner." The mechanic is still the same person who likes Fords and Toyotas, but they have revealed another side to themselves.
A transgender person still has the same opinions and tastes as they had before, so if Michael enjoyed watching UK Crime Dramas, and Michael became Michelle, Michelle might still like the same shows, so in that respect, they're no different. Just like if Michael was a lawyer, Michelle might still be a lawyer. They socialise as the opposite sex, however.
What you might find, however, is they might be asexual for a period post-transition, but it's not uncommon for a heterosexual transgender person to still have the same sexual orientation, but they may have a different partner. So, Michael might have been married to a woman, but they may get divorced and Michelle might find a new female partner.