Legendary Pictures has hired screenwriter Max Borenstein to write Godzilla 2 for director Gareth Edwards. Borenstein wrote the first film, as well as Legendary's upcoming King Kong movie Skull Island, which Tom Hiddleston was recently cast in. He also wrote the Jeff Bridges fantasy thriller Seventh Son for the studio as well. Legendary Pictures obviously likes the guy's work.
Legendary and Warner Bros were hoping that the relaunch of the Godzilla franchise would be a success for them. The first movie made $524 million worldwide, and you can bet that they will keep pumping out sequel after sequel as long as it still brings in the cash. I really liked the first movie, and as long as they keep creating quality films I'll keep watching them.
Edwards will start working on the Godzilla sequel after he's finished with the Star Wars project he's working on with Lucasfilm and Disney. Legendary set the released date for June 8th, 2018, so we still have a long way to go before we see who Godzilla will fight next.