The win for the 11th-seeded Golden Gophers closed out the 32-game second round of the tournament and reduced the event to 32 teams -- 10 of which advanced as a lower seed.
Minnesota will face Florida on Sunday after the Gators easily disposed of Northwestern State 79-47.
Hollins had 28 points, seven rebounds and five assists. He made all seven of his free throw attempts. Minnesota shot 50 percent from the field and went 9-of-16 from beyond the 3-point arc.
The Golden Gophers (21-12) improved the Big Ten Conference's record in this year's tournament to 6-1. Wisconsin was the only team from that conference to lose its opening game.
UCLA (25-10) was led by Shabazz Muhammad with 20 points. The Bruins connected on just 20 field goals.