Zoe Buckley Lennox is one of six people who have infiltrated the 38,000-tonne Polar Pioneer platform, which is in the Pacific Ocean en route to the Arctic.
The group, which also includes activists from US, Germany, New Zealand, Sweden and Austria, climbed aboard the platform, 1200km northwest of Hawaii, on Tuesday morning, Greenpeace says.
The activists sailed to the platform on the Greenpeace ship Esperanza and have supplies to camp for several days on the platform.
"We've set up a little bit of a camp here. It's a bit cold and windy, but it's nice," the Brisbane student said.
The group is protesting Shell's plans to drill for oil in the Arctic.
The Polar Pioneer, which is being transported on a heavy-lift vessel called Blue Marlin, is one of two drilling vessels heading towards the Arctic for Shell.
The group has vowed to stay on board the platform until their message is heard by Shell.
"We plan on being up here until we can shine a massive spotlight and Shell gets our message that millions of people don't want them to extract this oil and risk these beautiful places anymore... This is a fight. This is people versus Shell," Ms Buckley Lennox said.
Earlier, Shell confirmed that protesters had boarded the platform.
"(They're) jeopardising not only the safety of the crew on board, but the protesters themselves," United States spokeswoman Kelly op de Weegh said.
Ms op de Weegh said Shell had met with organisations and individuals who oppose energy exploration offshore Alaska.
"We respect their views and value the dialogue," she said.
"We will not, however, condone the illegal tactics employed by Greenpeace. Nor will we allow these stunts to distract from preparations underway to execute a safe and responsible exploration program."
But Ms Buckley Lennox said the claims were "ridiculous".
"There is no way we were endangering the safety of the people on board at all - we barely came close to them. We are all trained climbers so we've had a lot of experience and we're safely put up here," she said.
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