Trailing by ten points at quarter-time, the Aussies put together a 49-27 second half to run out convincing winners as Elizabeth Cambage proved too much inside, collecting 20 points and 14 rebounds.
Rachel Jarry (six points) was one of the players to turn the tide, knocking down a three-pointer in the third term after coming back from what looked like an injury in the second quarter.
That long range shot helped break open the game as Australia pulled together on a couple of fast break opportunities for Leilani Mitchell (18 points, six assists) and Erin Phillips (three points, four assists) who eventually wore down Brazil's back court with their tiring defence and stamina.
A 22-14 third term gave the Aussies their first lead of the game as well as all the momentum heading into the final break.
Mitchell and Cayla George (nine points) then started the fourth term with back-to-back three's before Cambage connected on a three-point play to gave the visitors an insurmountable double-digit lead.
Cambage proved a concern for the hosts right from tip-off, scoring eight of Australia's first ten points but behind a very vocal crowd, the Brazilians were efficient at the offensive end.
Their solid ball movement was able to break through the Aussies full court press and behind an 83% clip from the field, Brazil grabbed a ten-point lead at the first change.
Captain Izi Marques (25 points overall) had the hot hand with 12 points but a 9-0 run nearing half-time from Cambage and Penny Taylor (17 points, two steals) began to turn the tide.
The second quarter culminated in a scrappy finish, with two Brazilian players clashing heads as they dived for the ball while Jarry also hobbled off the court on a separate incident but her return out of the main break was a welcome sight for the Aussies and helped spark them to the comeback win.
After their hot start, Brazil finished shooting 45% from the field while they doubled Australia's turnover tally with 20.
The Aussies also collected 21 assists on 30 field goals, hitting 10-19 from beyond the arc. The full box score via FIBA can be found here.
Australia will now back up against Turkey tomorrow morning at 6.30am AEST. The full schedule can be found on FIBA's website here.