Final answer:
The official who controls access to the president and oversees the operations of the Executive Office of the President is the White House Chief of Staff, a position that is central to managing the functional dynamics of the White House and its staff.
Step-by-step explanation:
Within the Executive Office of the President (EOP), the role that controls access to the president and oversees the operations is the White House Chief of Staff. This position, not subject to Senate approval, is critical to the functioning of the White House and the EOP. The Chief of Staff supervises the White House staff, including positions such as the press secretary and the director of communications. The Chief of Staff's role is crucial in managing the information flow and staff interactions with the president.
The White House Office (WHO) houses the president's personal staff and advisors, many of whom work in the West Wing. This includes various advisers like the national security adviser who, like the Chief of Staff, serve directly under the president's authority. The EOP is an umbrella organization that encompasses all these roles and more, ensuring the White House operates effectively and cohesively.