The mosaic mural, stone banister, domed ceilings, masonic symbols, and other architectural details are beautiful. Interestingly, when I visited the Empire State Building in New York many years ago I was handed a brochure with the Nebraska State Capital on the front, another one of structural engineer, Homer Gage "H.G." Balcom's great works. No one mentions the connections between these two buildings much anymore, but the evidence is clear, like seeing similarities in siblings.
The guided tour is great, but maybe follow it with random wandering through the capital. Unlike any other U.S. State, Nebraksa has a unique unicameral nonpartisan legislature.