The stretcher was required to allow her to lie flat on the 13-hour flight from Istanbul. She also requires a wheelchair or walker to travel.
The six-month say in Silicon Valley was an exciting prospect for the tech worker, although getting there was a daunting prospect.
As a web developer and disabilities advocate, Gelgi has a large social media following.
Last month she shared the journey with hr 27k instagram followers, thanking Turkish Airlines for going above and beyond.
"This was my first flight, but it certainly won't be the last. From now on, I will be very honoured and happy to fly to different parts of the world with @turkishairlines," she wrote. "A heartfelt thank you to every single person involved in my journey."
Gelgi said she was travelling to the tech hub to pursue an offer of employment and thanked the airline for their help.
"Especially for a person who works in Tech/Software industry, spending 6 months in Silicon Valley, the heart of entire world's technology, is a fantastic opportunity," she said.
"I've never been so excited for the future before."
Since 2014 Gelgi has featured in the Guinness book of records, claiming titles as the world's 'tallest living teen' and has since claimed woman with the largest hands, longest finger and longest back.
She was officially recognised as the "world's tallest woman" in 2021.