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Morelull, the illuminating Pokémon from Alola, can be found in the wild in Pokémon Go. Yes, Morelull can be shiny in Pokémon Go!
Neither of these mushroom Pokémon see any use in raids, gyms, or PvP content. Their shinies are great, since they go from a spring coloring to a nice autumn red-yellow-brown.
As per old research by the now-defunct website The Silph Road (via Wayback Machine), the shiny rate for Pokémon on a regular day is approximately one in 500. Morelull is not a confirmed Pokémon that gets a “permaboost” (meaning that it’s a rare spawn and thus gets a boosted shiny rate).
Not much, unfortunately. It appears to be random chance. Shiny Pokémon catch rates are set by developer Niantic, and they are typically only boosted during special events like Community Days or Safari Zones, or in Legendary Raids. There are no consumable items that boost shiny Pokémon rates.