On a day where rugby returned to the Olympics for the first time in 92 years - and women's rugby appearing for the first time - New Zealand flexxed their muscles and showed they are a force to be reckoned with.
Kayla McAlister joined Woodman in scoring four tries over the two contests, highlighted by a length of the field against Spain.
McAlister was the best of the bunch, showing strength in contact and deft offloading skills.
McAlister's first try in the second pool match gave New Zealand a 12-0 lead at halftime against Spain.
Tyla Nathan-Wong then added a third shortly after the break, before Maria Casado scored for Spain - the first points New Zealand have conceded in 24 minutes of play.
Other than McAlister, Woodman and Niall Williams, sister of Sonny Bill Williams, New Zealand also scored tries through Huriana Manuel and Gayle Broughton in the first game.
Nathan-Wong kicked five of six conversions, proving that she could be integral to New Zealand's success in the later stages of competition.
Kelly Brazier also added a conversion.
While two-thirds of tickets have been sold across the six days of rugby sevens action, the 15,000-seat Deodoro Stadium was not even a quarter-full when the Kiwis took the field for the first time.
France outclassed Spain 26-7 in the historic first women's rugby match at the Olympics, five years after the sport was admitted in 2009.
They then went on to beat Kenya 40-7, setting up a showdown with New Zealand to decide the top of their group.
Meanwhile, gold medal favourites Australia trounced Colombia 53-0 to showcase their credentials.
Great Britain defeated Brazil 29-3.
