Next election is in 2016
Yes, Washington State has no gubernatorial term limits.
Governor of that state
The governor of Washington state is Governor Chris Gregoire.
The current governor is Governor Christine Gregoire (D).
the term shall commence on the Wednesday after the second Monday of January following their election.
The governor of the state can call for an election.
No, for example I live in Washington state which has a woman governor.
President, congress, state governor, state congress.
You did not tell us which state you are asking about, but in my state (Massachusetts), a Republican named Charlie Baker was elected governor in the 2014 election cycle.
The first governor of the Washington territory was Isaac Stevens. The first governor of Washington state was Elisha Peyre Ferry.
Brad Owen is the current Lieutenant Governor of Washington State.
The 22nd Governor of Washington is Christine Gregoire since 2005.