According to the official website, the second season of Working!! was announced on April 2nd. This is not an April Fool’s joke.
Staff
Director: Otshki Atsushi (“Kanokon”, “Motto To LOVE-Ru”)
Series Composition: Yoshioka Takao (“Sekirei”, “Queen’s Blade: Gyokuza wo Tsugu Mono”)
Character Design & Animation Director: Adachi Shingo (“Working!!”)
Production Studio: A-1 Pictures
A Blu-ray box set of the first season was also announced to be released on August 24th. The trailer of website manga version of the anime was an April Fool’s joke and a reward to the manga author from the anime producers.
Source: Working official website
Working!! 2 on MAL
Working!! 2 Announcement Specials on MAL