The city owns a public swimming pool and park facility which includes three ball diamonds, a tennis court, two sand volleyball courts, camping hookups and several park shelters. One of the main attractions in Genoa is the United States Indian School. Between 1884 and 1934, the Genoa Indian Industrial School educated and taught trades to children of Native American descent. Today the Indian School Museum is housed in the school building.
Visitors can tour the school grounds and see murals painted by Indian children.
Included in this museum is a pictorial exhibit depicting life on the campus of the Genoa Indian School. In 1990, the Genoa U.S. Indian School Foundation was founded to support additions to the buildings, organize Indian School reunions and to preserve the heritage of this national historical site. The Genoa Historical Museum is located on main street and houses the Allen B. Atkins Pawnee Indian Artifact Collection. Artifacts in this collection were found within a five mile radius of Genoa. Other features include collections of the Mormons and an exhibit of Genoa history.