George Squier wrote and edited many books and articles on the subject of radio and electricity. An inventor, his biggest contribution was that of multiplexing in 1910 for which he was elected to the National Academy of Science in 1919.

As executive officer to the Chief Signal Officer, U.S. Signal Corps, Squier was instrumental in the establishment of the Aeronautical Division, U.S. Signal Corps, the first organizational ancestor of the US Air Force in 1907. He also was the first military passenger in an airplane on September 12, 1908, and working with the Wright Brothers was responsible for the purchase of the first airplanes by the US Army in 1909. From May 1916 to February 1917 he was Chief of the Aviation Section, U.S. Signal Corps, the first successor of the Aeronautical Division, before being promoted to major general and appointed Chief Signal Officer during World War I.

In 1922 he created Wired Radio, a service that piped music to businesses and subscribers over wires. Liking how 'Kodak' was a made up name, in 1934, he decided later to change the service's name to 'Muzak'.

Asked how to say his name, he told The Literary Digest it was pronounced like the word square.

He died in 1934 of pneumonia.

In 1943, the U.S. Navy named troopship USS General G.O. Squier (AP-130) in his honor. It was the lead ship of its class, which was known as the General G.O. Squier class of transport ships.