It's a simple, but effective portrait using what looks to be a two-umbrella (octoboxes?) lighting solution in the oval office. One of the cool things about the White House Flickr account is that you can download the original image and examine it up close. Also, thanks to Flickr's handy EXIF browser, we know it was shot with a Canon 5D Mark III and an 85mm F/1.2L lens. As classic a portrait set up as you could ask for.
Settings were ISO 200 (so there's likely some background lights involved), at F/7.1 with a shutter speed of 1/125 second. If nothing else, it's a good reminder for some of us that portraits don't need to be taken way down at F/2.8 and below.
What do you think? And let's keep the comments about photography. There are plenty of other websites out there for political arguing.