Militiades,
Here's a link to a brief overview, written by an American, of Cuba's medical and health training programmes :
http://www.stwr.net/content/view/1950/37/
Or an article from USAToday, no friend of Cuba,
http://www.usatoday.com/news/health/2007-07-25-cuba_N.htm
Tell me if and when you've read these and I'll send you more links.
On your comments on people 'escaping the island paradise', a few figures are in order. Somewhere around 900,000 people have left Cuba legally since c. 1959, by far the majority to other Latin American countries. In absolute terms and in proportionate terms (to the country's total population) this is on the low side compared to other Caribbean and LA countries over the same period. Remember this is legal emmigration (not escaping as you suggested).
There were something just short of 100,000 so-called 'illegal' attempts at emigration between the mid 1980s and the late 1990s. You'll be aware, I'm sure Miltiades, that it was the
US which refused to take those Cubans 'illegally' escaping the dictatorship for the United States, and then it was the US which concluded an agreement with Cuba to return these 'illegal' emigrants. So actually when you compare Cuban emigration, not least to the US, it is not really much different, though generally lower, from its neighbours.