...and Jess is correct. Marty's does indeed host Gameday. The food is fantastic.
Finding a close hotel/motel in or around Green Bay/Ashwaubenon after the schedule is released is always a challenge...and there really aren't any except the Midway Motor Lodge (Best Western) that is in the heart of the Packers complex (that includes the might fine row of taverns on Holmgren Way that will serve up some prime Sunday game watching.
You'll find that almost all of the Hotels have courtesy vans/buses that will get you to the stadium or to the StadiumView - now, getting them to come pick you up after the game might be a challenge unless you saunter back over to the StadiumView until the traffic clears out - then they'll dispatch the courtesy van to the bar (Speaking of which, right next door to the StadiumView is "The Bar" - right down the street is Brett Favre Pass, at the end of which you'll find his restaurant - superior Bloody Marys.
You and I could be mirror-image-brothers because my second favorite NFL franchise after the Pack (went to my first game at age 7 in 1965) has always been the 49'ers. As a kid, I used to love watching Brodie air it out to Gene Washington.
Incidentally, you can wear your 9'er gear to Lambeau without fearing being pistol whipped. Unlike Philly where some turd told me to take my leather Packer jacket off in their house. (I told him to kiss off, the jacket cost more than he probably made in a week). Granted, drunken stadium a-holes are everywhere, but if you're respectful to the fans around you, you'll find that they'll respond in kind. If you talk crap too much...one of the local farm boys might just haul off and paste you one. Tell nearly any of the tailgaters in the parking lot or surrounding areas that it's your first trip to Lambeau and you'll be force-fed brats and beer or whatever they've got going on their grills.
The first visit there is always particularly special. I remember the first time I took my then 7-year-old son to a game... how as we walked the ramp into the seating area his eyes widened to the size of half dollars as he breathlessly said... "Awwwww Dad, coooool". I remember feeling that way as my Dad walked me into my first game ... the very game where City Stadium was re-named Lambeau Field - only the first thing I remember saying was: "Hey Dad ... who are the guys in Green?" No kidding... we only had a black and white television set.
God, enjoy yourself and enjoy the atmosphere. There really isn't anything quite like the place - even when it was surrounded in green sheet metal. I've been to 14 NFL stadiums ... and have never encountered anything like it -- even 45 years after my first visit.