The 20-year-old wildcard responded to the vocal home support to upset Turkey's higher-ranked Zeynep Sonmez 3-6 7-6 (7-5) 6-1 on Court 3 on Monday.
Shooting for the lines, Gibson opened up after scraping through the second-set tiebreaker and was rewarded for her courage with the most significant win of her fledgling career.
The world No.150 will pocket a minimum $200,000 for setting up a second-round shot at Spanish 11th seed Paula Badosa on Wednesday.
First Grand Slam win, first top 100 win �— #AusOpen (@AustralianOpen) What a moment for Aussie wildcard Talia Gibson as she comes back from a set down to defeat Sonmez 3-6, 7-6(5), 6-1 🇦🇺@wwos • @espn • @eurosport • @wowowtennis • #AusOpen • #AO2025 pic.twitter.com/qv8qL5DCICJanuary 13, 2025
The young gun has already fared batter than compatriots Daria Saville, Adam Walton, Omar Jasika and Li Tu, who were all first-day casualties at Melbourne Park.
Gibson was among a dozen Australians scheduled for day-two action.
World No.27 Jordan Thompson plays German Dominik Koepfer in his first grand slam appearance as a seed after enjoying a breakout 2024 season.
Nick Kyrgios makes his long-awaited grand slam comeback against Brit  Jacob Fearnley in one of the feature night matches on Monday.
Kyrgios's doubles partner Thanasi Kokkinakis, along with Chris O'Connell, James Duckworth, James McCabe, Tristan Schoolkate, Aleksandar Vukic, Ajla Tomljanovic, Maya Joint and Destanee Aiava also open their campaigns.