Piastri finished only 16th in qualifying after a disappointing Q1 exit, but the home favourite took advantage of several Safety Cars and red flags.
Following a deal to extend the race's agreement beyond 2025, the Australian Grand Prix will continue in Melbourne until 2035.
Last year, Oscar Piastri created a name for himself by winning the F2 title on his maiden try, his third series victory in as many seasons.
Daniel Ricciardo is having another difficult season at McLaren, his second after joining the team on a three-year agreement.
Jack Brabham was a Royal Australian Air Force flight mechanic and ran a small engineering workshop before he started racing.
Mark Webber made his F1 debut with the Minardi team in the 2002 season and finished fifth in his first race, the Australian Grand Prix.
In a huge blow to the sport of Formula 1, the coronavirus pandemic has caused the Australian GP to be called off for the second year running.