The benefit for Google and developers would be clear -- no more Java and Oracle shenanigans. Google already has a solid relationship with JetBrains due to the fact that Android Studio is just IntelliJ CE. They could hammer out details about who owns it, what the future looks like, etc. The transition would be easy since Kotlin already plays well with Java.
JetBrains would have a massive win as well since it would drive sales of IntelliJ like no other.