Tom Cruise and Suri Catch Waves at Disney World Surf Pool

By Evan Lambert and Steve Helling

08/03/2012 at 12:50 AM EDT

Suri Cruise's friends must be pretty jealous of her this summer. In addition to being one popular 6-year-old, she's been able to visit the zoo, ride in a helicopter and even go to Disney World – where earlier this week she frolicked in the waves of Typhoon Lagoon with dad Tom Cruise.

"Tom and Suri got into a splash fight," onlooker Morgan Ayres, 17, visiting from Terre Haute, tells PEOPLE. "They were laughing and giggling and splashing. He looked like he was having an amazing time."

Tom also took Suri to Disney World's Magic Kingdom on Monday and Hollywood Studios on Wednesday. During a Thursday visit to Animal Kingdom, Tom bought Suri a banana smoothie.

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Tom and Suri Cruise, at Typhoon Lagoon

Courtesy Carter Marteeny

"Tom always had his arm around her," an Animal Kingdom employee said.

And Keeley Reymond, 20, of Jacksonville, Fla., who was also at the theme park, added: "When they got onto the [Wildlife Express Train ride], she snuggled up under his arm. She looked like a daddy's girl."

Suri's summer will end in September when she begins private school back in New York City's Chelsea neighborhood, near her home base with mom Katie Holmes. She'll be attending Avenues, which teaches all students a foreign language – an invaluable skill for the young jet setter.

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