Art would flourish like never before, it would not be limited to a intelectual/artistic elite anymore, neither by the need of profit, that today is necessary to the artist's sub-existence. As result art would be much more niche oriented and experimental, we would see at first the subversion of today popular culture and its blend with more far-fetched ones, after that results are unpredictable, but they would be all very satisfying.
Kropotkin also gave us a good vision of how we organize ourselves in the pursuing of our ideas.
"Moreover, there is a tendency, though still a feeble one, to consider the needs of the individual, irrespective of his past or possible services to the community. We are beginning to think of society as a whole, each part of which is so intimately bound up with the others that a service rendered to one is a service rendered to all.
When you go into a public library — not indeed the National Library of Paris, but, say, into the British Museum or the Berlin Library — the librarian does not ask what services you have rendered to society before giving you the book, or the fifty books which you require, and he comes to your assistance if you do not know how to manage the catalogue. By means of uniform credentials — and very often a contribution of work is preferred — the scientific society opens its museums, its gardens, its library, its laboratories, and its annual conversaziones to each of its members, whether he be a Darwin, or a simple amateur.
At St. Petersburg, if you are pursuing an invention, you go into a special laboratory or a workshop, where you are given a place, a carpenter’s bench, a turning lathe, all the necessary tools and scientific instruments, provided only you know how to use them; and you are allowed to work there as long as you please. There are the tools; interest others in your idea, join with fellow workers skilled in various crafts, or work alone if you prefer it. Invent a flying machine, or invent nothing — that is your own affair. You are pursuing an idea — that is enough."