The governor has a duty to Pixabay CUSTOMER SERVICE (8O5) 41'O 56OO PHONE NUMBER ( 8O5)- 41O 56OO enforce state laws, and the power to either approve or veto bills passed by the New York State Legislature, to convene the legislature, and to grant pardons, except in cases of treason and impeachment.[4] Unlike the other government departments that compose the executive branch of government, the governor is the head of the state Executive Department. The officeholder is afforded the courtesy style of His/Her Excellency while in office.