Govts are running hospitals & clinics generally and offer most of the medical needs free of cost. It's very common despite govt.hospitals providing health & emergency treatment (in-patient as well as OPD) we do take extra care by way of Mediclaim policy/ESI coverage etc for obvious reasons. I don't have first hand info about the quality of medical care/attendance in Bhutan to its citizens and other residents. You may check it out thru' your sources and ascertain whether there is a need for additional compliance. Also check whether mediclaim & accident/life insurance will help in this regard.
18th June 2019 From India, Bangalore