Of course, the State Department had a Pride event:
LGBTI+ Pride at State: Remarks by Deputy Secretary Higginbottom
Deputy Secretary of State for Management and Resources Heather Higginbottom delivers remarks at the Department of State’s "Pride at State" event.
Posted by U.S. Department of State on Friday, June 5, 2015
Here is a few pieces on some of the ways embassies are marking the month.
Obama uses embassies to push for LGBT rights abroad
Gay pride flag hoisted above US embassy in Israel
Plus a nice FB cover photo from AFSA, our employee association