What state official is the president of the georgia senate

President pro tempore of the Senate ( president of a time)

Explanation: The president pro tempore of the senate or president at that particular point in time is an officer of the senate recognised by the constitution. He is usually elected by the senate, his job roles is to presides over the chamber in the absence of the vice president of the United States of America.

Geoff Duncan

Explanation:

Geoff Duncan of the Republican party is both the Lt. Governor and Senate President.

He was elected into the house of representatives in 2012, however he resigned from this in the year 2017. He then went ahead to run for the post of for lieutenant governor in 2018.

Duncan ran against  Shafer in May, 2018 for the post of the lieutenant governor, and after a re-run defeated him July, 2018.

Duncan was finally inaugurated lieutenant governor on January 14, 2019. He is the second Republican lieutenant governor in the state's history.