Reader searching for information on Lewis Goulet or Gooler

Dear Editor,
I am trying to obtain a copy of my Grandfather’s birth certificate or any other information people might remember for genealogy.
My grandfather’s name was Lewis Goulet, But for what ever reason he went by Lewis Gooler. He had a brother named Murel and a sister Laverne.
Murel immigrated to Crookston, Minnesota around 1915-1917. My grandfather enlisted in the 229th O.B.C.E.F. at Moose Jaw, Sask on March 24th, 1917 at the age of 17, under the name of Gooler.
His military records show that the military obtained a copy of his birth certificate and hand wrote on his enlistment papers (alias: Goulet and his correct birth date of 12/6/1900..He put 12/3/98). They wrote on his papers he couldn’t be sent overseas until he was 19 years of age. This explains why he lied about his age!
I believe his parents were Ojibway or one was full blooded. I am trying to also track Indian records. Would anyone have any ideas on how to find that in your area?
His trade as listed on military records was a farmer.
He spoke mostly French. He immigrated as well to Minnesota before 1933 when he married my Grandmother, they divorced and he moved to California, where he died in 1961 as a veteran from 1917-1919, Army.
If you can find any information for me that would be great. I look forward to hearing from you.
Sincerely,
Catherine Czarencki,
Racine, WI USA
(262) 886-0426