Short answers, pulled from the story.
A government is the system or group of people governing a country and its administrative divisions, generally called a state. In its broad associative definition, government normally consists of a legislature, an executive, and a judiciary. It is both a means by which organizational policies are enforced and a mechanism for determining policy.
The word government derives from the Greek verb kubernao, meaning to steer with a gubernaculum, or rudder. The metaphorical sense is attested in the literature of classical antiquity, including Plato's Ship of State.
The first small city-states appeared about 5,000 years ago, though the exact moment and place human government developed is lost in time. By the third to second millenniums BC, some had developed into larger governed areas including Sumer, ancient Egypt, the Indus Valley civilization, and the Yellow River civilization.
Plato, in The Republic of 375 BC, divided governments into five types: aristocracy, timocracy, oligarchy, democracy, and tyranny. Aristotle classified forms of government by how many people rule: one person is an autocracy, a select group is an aristocracy, and the people as a whole is a democracy.
Democracy is the most popular form of government, with 97 of 167 nations counted as democracies as of 2021. However, the world is becoming more authoritarian, with a quarter of the world's population living under democratically backsliding governments.
Governments are often organised into three branches with separate powers: a legislature, an executive, and a judiciary, a model sometimes called the trias politica. An independent distribution of powers between branches is called the separation of powers, while a shared or overlapping one is called the fusion of powers.
In modern developed countries, public services often include courts, education, electricity, emergency services, environmental protection, health care, mail, military, policing, public transportation, water supply, and waste management. Together with state-owned enterprises and civil servants, these compose the public sector of the economy.