Elected in November, takes oath, and office in January of the following year. Provided nothing goes wrong with the counts in votes. So, approximately 2 months and 3 weeks later.
Most of the time, the governor of a state is elected by the people on the first Tuesday in November. It would have to be a special circumstance for a governor to be appointed. 99.99% of governors are elected.
The (governor)
Yes, a governor of a state is elected by the people living in that state.
Our state recently elected a new governor.
Governor
By an elected State Governor.
The Governor of Tennessee is the executive head of the state of Tennessee. Bill Haslam is the current Governor in Tennessee. Bill Haslam was elected Governor of Tennessee in 2010 and re-elected Governor in 2014.
As of the Governor for the state of Florida is Rick Scott. He was elected into office in 2011 and is the 45th Governor in the state.
Elected by the voters of the state.
You did not tell us which state you are asking about, but in my state (Massachusetts), a Republican named Charlie Baker was elected governor in the 2014 election cycle.
Appointed
Bill Clinton was governor of Arkansas before he was elected president.