Jesh, a one year old is young but folks do it every season. Can be done for sure but it's all on you not kiddo.
Best plus is the opportunity for Show Your Little Gopher bit when they do it and you get on.
Biggest minus is leaving the game early because of whatever makes your child unhappy.
True story.
I took my 4 month old firstborn to the debut of the movie Independence Day on the Fourth of July in 1996. We could not find a sitter and I wanted to see the movie. Obviously bad.
Needless to say life conspired to get us there late and the only two seats together were in the front row all the way to the left.
If you know the movie it opens with a scene of the alien ship crossing over the moon with very loud Dolby sound effects. People were looking at us like we were crazy to have our baby in there in that moment. (That will not happen at a Gopher game). Casey's eyes were wide open as the sounds occurred around him in a darkened theatre. We would find out later he is autistic.
Mrs. Billd and I left probably 90 seconds or so in. I did not ask for our money back. It was not the theatre's fault...I was an idiot.
So back to the question. It's fine to bring a one year old to a game. Just plan for it, be ready to leave if you need to, and the non-conference games are best. Just know your kid is just an extension of you at this point...no memories other than yours. Protective ear wear is great, especially if sitting close to the scoreboard. Provide shade if in the sun. It is a sin not to hoist your little Gopher up during Show Your Little Gopher bit on the Jumbotron...
Others are giving good advice. This is what came to mind for me. Congrats on the new Jesheroon and will be watching the Jumbotron. Ski U Mah.