From the press release -
"This gives Disney enormous programming potential across its platforms and makes them key destinations for a robust collection of Spider-Man films. Notably, the agreement provides Hulu access to a significant number of library titles beginning as early as this June."
Deal Includes U.S. Rights to New Theatrical Releases from 2022-2026 Following Their Pay 1 TV Window and Library Titles from Sony Pictures for Disney’s Streaming Services and Linear Networks Agreement Provides Disney with a Robust Collection of Sony Pictures’ Universe of Marvel Characters...
dmedmedia.disney.com
I don't think Hulu had any June Sony titles on it's list either