Company G was an element of the regiment's Second Battalion (one of three of the battalion's rifle companies). You'll want to contact the division's veterans association. The most recent address I have is:
35th Infantry Division Association Post Office Box 5004 Topeka, Kansas 66605-5004
Perhaps they can put you in touch with the 134th's regimental veterans association and/or someone who remembers him.
As an aside, Jack Sabata has an interest in the 137th Infantry, another of the division's components during World War II, and maintains a website at < http://www.expage.com/page/35thinfdivhttp://www.expage.com/page/35thinfdiv >. However, before you go tearing off in quest of same, you might want to read his "mission statement": "I regret that I cannot answer any questions regarding the whereabouts of wartime relatives or friends or the current whereabouts of their friends or families. I am NOT a PRIVATE INVESTIGATOR or GENEALOGICAL SERVICE! Before you contact me, please consider also that I AM NOT a PSYCHIC!"