I'm going to assume that you mean the port city of Puntarenas instead of the Province of Puntarenas. It is approximately 100 kilometers (62 miles)
San Jose is the capital of Costa Rica, located in Central America, between Nicaragua and Panama.
3,903.92 kilometres (2,425.79 miles)
949.82 kilometres (590.19 miles)
fact: it is the country's capital fact: it is the most populated city in the country