I love Surly (all time favorite brewery) and it's a don't miss.
Summit is nice, if you like their beers. The tap room is nice.
One with an H, can't remember the exact name, something like Herkimer(?) is mediocre at best. Barley Johns has a cool outdoor bar, but the beer is "meh".
My favorite beer in Minneapolis is at Town Hall Brewpub- I love the masala mama IPA and the food is good too.
Rock Bottom is a little better than a typical Rock Bottom, but I wouldn't go out of my way. If you're staying downtown, it's an easy walk to hotels.
If you get tired of breweries, for beer bars, there is one across the street from Town Hall called "Republic" with cheap Happy Hour prices, and a great selection. Of course, the Muddy Pig is a don't miss for great selection, as is the Happy Gnome.