Murray was drawn in the same quarter as Roger Federer - meaning the pair could face each other in the last eight.
Murray is chasing a fourth Grand Slam title of his career and his first in Melbourne, where he has reached the final five times.
Britain's word number 10 Johanna Konta will face Kirsten Flipkens from Belgium.
Konta's draw places her in the same quarter as Slovakia's Dominika Cibulkova and American champion Serena Williams.
Defending champion Novak Djokovic will be aiming for a record seventh Australian Open title with a first-round match against Fernando Verdasco.
Spain's Verdasco knocked his compatriot Rafa Nadal out in the opening round last year, but went on to lose to Djokovic in their recent clash at the Qatar Open.
Nadal, seeded ninth, will play German Florian Mayer before a possible quarter-final against Canadian Milos Raonic.
In the women's draw, Williams is aiming for her 23rd grand professional slam title.
Her first match will be against Swiss Belinda Bencic.
Defending champion Angelique Kerber will play 61st-ranked Ukrainian Lesia Tsurenko.
World number one Kerber is aiming for her third Grand Slam win following her maiden US Open title last year.
Konta is in good form heading into the tournament. At the Sydney International on Thursday, she beat Canada's Eugenie Bouchard 6-2 6-2 to reach Saturday's final.
She will play world number three Agnieszka Radwanska.