Florida, 28-1, will play the winner of the Colorado State-Nebraska match for the right to advance to the Final Four scheduled for next weekend in San Diego.
Pepperdine completed the 2001 campaign with a 23-4 mark, as the Waves had a 13-match winning streak snapped by the Gators who have now won 26 straight matches.
The Waves had all of the early momentum, building what looked to be an insurmountable 27-20 lead in the first game. However, Florida stormed back to score 10 of the next 11 points to claim the all-important first game and put Pepperdine on its heels.
Outside hitter Aury Cruz led Florida with a match-high totals of 22 kills and 19 digs as the Gators notched a .224 team attack mark and outblocked the Waves by a commanding 26-8 margin.
Junior middle blocker Stacy Rouwenhorst led Pepperdine with 12 kills as the Waves managed a poor .096 team hitting percentage.