All health care is free in Cuba. We've gone on occasion to surrounding hospitals in the province of Santiago, as well as to Varadero, Camaguey, Guantanamo, Holguin, and a few other cities. Planeloads and planeloads every day. Cuban doctors have the skills to do open heart surgery, but they often lack the scalpels to cut you open and the sutures to tie you up. Computers are necessary and nonexistent.
Some hospitals have one or two, and some have none.
If every hospital had a computer it would be easier to locate medicine within the country as well as communicate a little more with the outside world. The site is in Spanish but you'll probably understand. Pack all the medicine you want to donate seperately and label it with the institution to which you want to donate. Wherever possible, you should pick in institution in the same Province in which you enter - otherwise you will be creating many layers of additional paperwork. All of this will take some time - but the knowledge that you are bringing medicine that might otherwise be unavailable makes it very much worth it.