According to Bloody Disgusting, the second season will be made available on June 6, 2022.
“Godzilla” featured the famed Japanese monster and a whole retinue of new kaiju for him to fight. None of the regular baddies – Rodan, King Ghidorah, Barugon, Mothra, King Kong — appeared in the animated series, replaced by monsters with names like Macro-Spider Crab, Axor, Breeder Beast, and the Great Watchuka. Godzilla’s familiar foes first made TV appearances in the 1973 tokusatsu series “Zone Fighter.” In the 1978 series, Godzilla himself didn’t really look like any previous iterations of the famous monster, bearing a closer resemblance to a tyrannosaurus rex.
From the description on the YouTube preview:
Arriving next week on Toho’s official international “Godzilla” YouTube channel is the eagerly awaited second season of the classic ’70s animated series, “Godzilla.” Never-before-released on home video and rarely seen in over 40 years, this second season is exclusive to the channel and will bring viewers back to the Saturday morning adventures of Godzilla and the loveable sidekick, Godzooky. The 13 episodes of Season Two first premiered in 1979 and will join 13 episodes of Season One exclusively on the channel.
It’s certainly worth noting that Godzooky — a 10-foot tall, ineffectual, dragon-like doofus — is not beloved, serving as the Scrappy-Doo of the Godzilla universe. Like Scrappy-Doo, however, Godzooky does have a strange following of his own: he was once rumored to be dating Lorna Luft.
The first season of the 1978 animated “Godzilla” series is already available on the Toho YouTube “Godzilla” channel.
Source : https://www.slashfilm.com/883337/season-2-of-the-godzilla-animated-series-never-released-on-home-video-is-headed-to-youtube/