i would probably set up a lot of higher education grants for those who can afford it the least. some at physical universities, some virtual.
i would also invest heavily in to research (mainly medical but unsure on that), probably through university grants. better medicines and treatments will help everyone. well, more or less, as healthcare standards, costs and such vary widely around the world.
This only affects people who want to learn. Not everyone has the capacity, capability or time to learn. Really what you are doing is creating a fund which will likely be abused by rich and poor. The only way to distribute wealth is on an individual basis. You can't just create a generalized fund which is can be used by a specific group or nationality or whatever.
This has been tried and tested and people will find loop holes or ways of abusing the system. Medicial research wouldn't likely affect everyone either. You are assuming that this newly found medical discoveries will be available to everyone. It would be best in my opinion to set up a system much like the NHS and other medical systems throughout the world which offer free medical care.
None of this bullshit of having to pay for medical care.
so just everyone just gets "x" amount extra?
seems like thats the way to waste it. how many would just blow it on fun times or other useless (for the quality of life of the population in general) endeavors. not that im not against having fun but not with money donated from others that are to be used for the betterment of society in general. the USA medicaid program (supports the poor with free housing food and healthcare) sees massive abuse. why work when you can leech off the system?
those who want to learn would. they would have the capacity be more productive, to improve the general quality of life in their areas by applying what they've learned.
those who dont want to learn wont waste educational resources better allocated to those who would use them for society's benefit.
as for medical advances, sure initially the advances would probably be limited to certain populations (say, the more well off or well connected) but that would fade as the advances trickle down in cost. thats pretty much just the way it goes. not everyone can have a limited resource at once, as initially such treatments would likely be quite costly. eventually it gets to the point that its available to everyone cheaply.