The 23-year-old, who had a base price of $51,000, attracted a winning bid of $131,000 from Giants on Monday, though it was Royal Challengers Bangalore who had first raised the paddle when her name came up.
"It was a strange day for everyone involved," Wareham said on Tuesday after winning player of the match for her 3-20 in Australia's eight-wicket win over Bangladesh at the T20 World Cup in Gqeberha.
"It (WPL) is really important for women's cricket and it's really great the way that the game is going.
"I certainly didn't expect to get picked up, I guess, but like everyone, we probably all hoped to be involved.
"The first year of anything is really cool. To get over there and play in India will be pretty special, and I'm really looking forward to it."
Wareham is one of 14 Australians to be picked across the five teams during the WPL auction, which took place at the Jio World Convention Centre in Mumbai.
Gujarat outbid Bangalore to snap her up towards the auction's latter half.
Asked if she followed the auction at any point during the near-seven hours it lasted, Wareham said: "It was tricky. I wasn't sure when we were all coming up, so it was a bit of a long wait.
"I was actually with the physio at the time when I came up and we were both carrying on a little bit when my name came up."
Wareham is one of the four Australian players Giants bought at the auction, alongside Ashleigh Gardner ($558,000), Annabel Sutherland ($122,000) and Beth Mooney ($350,000).
Gujarat had earlier appointed former Australia captain Rachael Haynes as their head coach.
Reflecting on Gardner becoming the WPL's joint-most expensive overseas player, Wareham said in jest: "I think it's going to be Ash's shout for everything from now on.
"It's life-changing for a lot of cricketers and a lot of people, which is really special.
"It's only going to go up from here, which is really exciting for the young group of players that are going to be playing the WPL for many years to come - which is really exciting."
