I don't think people would prosper under such a system. Free health care, yes, free education, yes. Retirement for all, take care of the disabled, yes.
But in my opinion, in today's society, if you take away the need for people to struggle (which UBI will do) they often end up in a worse mental and physical shape than if you make them suffer a bit. Just the way natural selection programmed us. "All basic needs are met <- conserve energy".
I can imagine a educational system where we prepare our children from childhood for UBI and it will work.
But given how rudimentary most education still is I don't see that happen anytime soon. Maybe in 100 years.