Bruns scored four goals, Cullen three and Dashiell two for the Gators (6-0), who got five goals and a career-high and Florida single-game high eight draw controls.
Freshman attacker Lauren Lea (Archbishop Spalding) also scored for Florida. Bruns, who recorded her second straight game with four goals, added an assist. Cullen also had an assist.
Junior Alyssa Leonard also set a career high with four goals and four points, while senior Taylor Thornton dominated the midfield all afternoon with five draw controls, four ground balls and a career-high five caused turnovers.
Freshman attacker Mallory Schonk (McDonogh) finished with two goals and an assist for Vanderbilt.
The Cavaliers created an opportunity in the final minute after Syracuse turned the ball over deep in its offensive zone. Virginia got the ball downfield with Casey Bocklet firing a shot, but it was off target. Virginia had possession with 10 seconds left in the game, but Syracuse forced a turnover.
"This was a game where I thought we controlled 90 percent of it, but it turns out we needed to control 95 percent," said Virginia coach Julie Myers.
Virginia senior goalkeeper Kim Kolarik (South River) finished with 10 saves.
Stanford 18, No. 17 Harvard 13: Freshman Alexis Nicolia tallied five goals and added an assist for six points in her debut, but the visiting Crimson (0-1) lost to the visiting Cardinal (1-1).
Micaela Cyr and Kyleigh Keating each scored two goals and dished out two assists for the Crimson, while goalie Annie Meyjes recorded 14 saves and collected three ground balls.
Stanford (1-1) was led by Kyle Fraser and Meg Lentz, who recorded hat tricks.