You can discover a lot of interesting information from taking a tour of a medical facility. Check to see if Juan XXIII Hospital is open to the public while you're in the area.
You're spoiled for sightseeing choice when staying in La Paz. Juan XXIII Hospital is an ideal place to start here, but there are lots of other worthwhile attractions to consider. La Paz Metropolitan Cathedral, Hernando Siles Stadium, and Plaza Murillo are near the health care institution and will fill in your day nicely.