Vlogger and author Connor Franta penned: "I Am Cait was so interesting & informative! Televising her story cannot be easy so i feel nothing short of fortunate to follow the journey.(Sic)"
Kim Kardashian, who appeared on the first episode as Caitlyn's wardrobe critic, also tweeted a message of support complimenting her hair extensions.
Author Armistead Maupin, whose quote opened the first episode of I am Cait was feeling proud, following the screening.
Ru Paul's Drag Race contestant Courtney Sparkles said it was, "So beautiful to see the spotlight being shined on other trans stories", referring to Caitlyn's visit to the mother of a transgender teen who committed suicide.
The debut episode was also well received by members of the transgender community.
Jazz Jennings, a transgender teenage girl who stars in her own reality show called I am Jazz, tweeted a message of support for Caitlyn and said she was proud of her.
Transgender author, performance artist and gender theorist Kate Bornstein described the show as "honorable & fun loving".
Isis King, the first ever transgender contestant on America's Next Top Model, found she could relate to many of Caitlyn's experiences - particularly her relationship with her mother, Esther.
In the episode, Caitlyn's new persona attracted praise from her children and stepchildren, with the family delighted by her infamous cover shoot for Vanity Fair magazine, in which she revealed her female self for the first time.
Stepson Rob Kardashian called her to say: "Your cover looks amazing", prompting Caitlyn to exclaim with a wide grin "isn't that rockin?"
Later, Kim Kardashian West exclaimed: "You didn't tell me you were on Twitter!
"The head of Twitter just said we think Caitlyn could break President Obama's gained follower record, 1 million within the first five hours (sic)"
The former Olympian laughs, "Let's go for the record! I love records!"
Despite her excitement following her transition, Caitlyn also spoke of her life of suffering under the guise of Bruce, admitting she had contemplated suicide.
She told the camera: "I've been in some dark places, I have been in my house with a gun and said, 'Let's just end it right there', no more pain, no more suffering, that struggle, it's real and I've been there."