Well, we can make educated guesses.
There's no money, people do a job that they want to do and the object is to be better at what you do. There are no wars (although every movie is about one...), people have attained a higher consciousness (Picard is ok with being bald - which speaking of, they can cure cancer but not baldness...). Earth and Vulcan have basically created the Federation - although there's only one Vulcan per spaceship. People easily live over 100 years. I could extrapolate a lot more but, too lazy to go view all the movies.