The US government web site describes the English test. I couldn't see anything about people who came from another English-speaking country such as Canada, UK, Australia, New Zeeland, etc. Obviously, they already know English. Are they exempt from taking the English test?
The page you cite discusses the Naturalization Test administered by the USCIS. The page contains this link, which leads to another page which discusses the English language test. That page, in turn, contains this further link to a page discussion "Exceptions and Accommodations" regarding the tests.
The last-linked page contains this text:
Thus, it appears that an English-speaker who hasn't lived in the United States for the required durations is not exempt from taking the English test.