What economic system has the government distribute necessities and service to the people?

This would be known as a socialist system.

Socialism is a political and economic theory that focuses on government control. In a socialist country, the government would control what businesses make, how much product they make, and what resources/services citizens will receive. In this system, their is very little room for individual freedoms or choices. This is due to the fact that the government controls a significant part of the economy.