The first turbojet flight was the Heinkel He 178 X of the German Luftwaffe on August 27, 1939 in Rostock, Germany. On May 2, 1952, the British Overseas Aircraft Corporation (BOAC) began the world's first commercial jet service with the Comet 1A, a 44-seat passenger plane from London to Johannesburg. Piloting the plane was de Havilland chief test pilot John Cunningham. The Comet was capable of traveling at a record speed of 480 mph, a record speed at the time.
Hanna Reitsch was a most remarkable pilot: first woman airline captain, first woman to fly a helicopter, first woman to fly a rocket aircraft, first woman to fly a jet and one of the best glider pilots who still set glider record flights at the age of 75.
To fly a jet for non-commercial use, first you must obtain a Private Pilot's license. Then you must be certified on each individual aircraft type you wish to fly. To become a commercial pilot, you must then complete the training and hours requirements to be certified as a Commercial Pilot. Again, you must be individually certified or "rated" for each different aircraft you fly.
Phil Oestricher, was the first pilot to fly YF-16 No. 1,
Pilot Training Schools are the best places you can learn how to fly a private jet.
Most military fighter jets run with a single pilot and a flight officer. The Flight Officer is not trained to fly the aircraft.
The first turbojet aircraft to fly was the Heinkel He 178
He was the first pilot to fly pilot to fly by himself.
Given a skilled enough pilot - yes.
I believe that would be Messerschmitt test pilot Fritz Wendel when he flew the third prototype of Me 262 on 18 July 1942.
In order to be certified to fly a private jet, you'll need to attend commercial pilot ground school. You will also need to log in a few hundred hours of documented flight time.
The first jet to fly was Heinkel He 178. Its top speed was 598 kph. It was built by a young engineer named Hans von Ohain. It was the first practical jet plane.
Probably not in commercial service--the FAA has mandatory retirement ages, and a Vietnam-era fighter pilot is past those. But if it's his own plane, and he's current and trained to fly jets, he could fly it.