The Melbourne family were touring the Bay of Plenty region as passengers on the Royal Caribbean cruise liner.
Browitt's mother Marie, who remained on board the ship that day, can be heard in the video uploaded on to TikTok, along with Arlo howling in excitement.
"Oh my god, he's crying," she said.
"Is that Stephanie? Hi Stephanie, say 'hello' to your mum. Welcome home darling."
Wearing a mask and gloves covering her injuries, Browitt can be seen waving to her mother in the video and excitedly caressing Arlo while telling him how much she loves him.
"I love you, I love you, I love you," Browitt can be heard saying in the video.
"You've got me, you've got me, you've got your family."
Sharing the moment to Instagram, Browitt said "it felt amazing" to be back home despite it being for just one day.
"So after nearly 6 months in hospital and definitely over 6 months since I've seen my fur baby, I finally got approval for day leave. On my beautiful baby's 1st birthday!!! And to say I got the best welcome back hug and cuddles from my dog is honestly an understatement," she said in her post.
"Mum had to try to stop him from jumping on me so I wouldn't get clawed (she failed miserably and I honestly didn't care lol). God he's gotten amazingly larger since I last saw him as well. But today couldn't have been any better."
Donations are still flooding in to the GoFundMe page to support the Browitt family – raising more than $79,000 of its $100,000 goal in six months.