To be honest, I don't get this craze for web based naval game that is using real World War 2 ships such as Yamato or Akagi and anthropomorphize it into moe, cute anime girls but apparently it taken the anime world by storm. Not surprisingly, to cash in the surging popularity, the anime series is coming soon. This kinda reminds me of Strike Witches and Girls und Panzer.
This wiki entry will give a general idea on the phenomenon.
The official website for the anime.