American teenager Coco Gauff comes up against Venus Williams in the first round, while top seed Ashleigh Barty kicks off her campaign against Lesia Tsurenko of Ukraine.
Defending champion Naomi Osaka will face Marie Bouzkova of the Czech Republic, while Serena Williams faces Anastasia Potapova in her quest for a 24th Grand Slam title.
In the men's round, Roger Federer has been drawn in the same half as Novak Djokovic, meaning they could meet in the semi-finals.
The Swiss star starts against American Steve Johnson, while Djokovic opens his campaign against Germany's Jan-Lennard Struff.
Spanish top seed Rafael Nadal plays against Bolivia's Hugo Dellien in the first round.
The first Grand Slam of the year kicks off on January 20.
World number two Iga Swiatek advanced to the second round of the Australian Open on Monday with an unconvincing 6-3 6-4 win against first-time opponent Katerina Siniakova on John Cain Arena.
Jannik Sinner launched his Australian Open title defence with a 7-6 7-6 6-1 win over Nicolas Jarry on Monday in a match that put the players' contrasting doping cases in the spotlight, while Carlos Alcaraz began his bid to complete a career Grand Slam with a 6-1 7-5 6-1 win over Kazakh Alexander Shevchenko.
Manchester United boss Ruben Amorim said his team are still improving, as Sunday's dramatic FA Cup penalty shootout victory over Arsenal points to a more positive future after a difficult start to life at Old Trafford.