Is John G Roberts Jr the current Chief Justice?

Senior Associate Justice John Paul Stevens administered the Constitutional Oath of Office to Chief Justice Roberts on September 29, 2005. Roberts took the Judicial Oath on October 3, 2005,...

Chief Justice Roberts served on the U.S. Court of Appeals for the District of Columbia from 2001 until his appointment to the US Supreme Court in 2005.

That information doesn't appear to be available at this time.

He was nominated to the Supreme Court in 2005.

Neither. Chief Justice Roberts is a conservative.