This person has immortality. Let’s call him Jim. I'll assume Jim can't die of old age. What will Jim do with all the time that immortality brings?
Regardless of what this person chooses to do. Given enough time will become good at it.
Living in the city, then will probably want some services, at least electricity for entertainment. That would suggest keeping a job. If Jim wants a woman and a family… he probably still has to work to keep the household… until he sees his family die of age, grief, and oversee his grandchildren.
But, this person has no need for cities!
Move to the wilderness, yeah, Jim can put a roof over his head because rain is annoying, not like it hurts or makes him sick. In fact, Jim can reach instant nirvana, because he being immortal has no need of material things, he can attain a live with no desires. Then he can bring Curt Cobian back… wait, that’s not right…
Immortality is boring; the best use of your time is to learn. Study all the things, master all the skills. Become the living incarnation of human knowledge. With all the knowledge he will be an oracle, whatever or not Jim seeks recognition is another thing.
Or perhaps Jim – with all his knowledge - can help human kind to solve the problems of hunger and scarcity.
Jim is a source of infinite energy. Sadly the energy output is low, Jim doesn't have super strength or super velocity and we already have good power plants... no need to to make him run in that giant hamster wheel for years.
Yet, Jim poseses the secret to create a perpetual motion machine, if only he could be properly studied. Would Jim agree on this? Giving a nation the chance to get a perpetual motion machine would give them a jump in any arms race... Jim wants to see wolrd peace first.
Instead Jim could research it himself, in secret, he has time to study anyway. And once he discovers it, release it on public domain for all the world.
He will lead human kind to become a Type II civilization and beyond.
World peace never came. When human kind has finally destroyed itself and aliens come to visit the now desolated planet… they will find Jim come Jim can tell them about how the empires rises and falls, and tell how people once loved and raged war.