How do I build this?

Are you referring to the general look or to the wall unit? It looks like birch veneer covered plywood, with a floating shelf kind of construction, where the shelves have a front panel to make them look thicker.

I agree with Tova! It looks like three shelves made out of birch plywood. One deep one for the desk top, two narrow ones for the shelves. Trim boards on the front to make them look beefier. You can see the the shelf supports on the walls holding shelves up hidden by the trim boards. The center boards support the long shelves and act as a separator for two desk stations. Probably screwed to the desk top and shelves with 90 degree angle brackets.

That column in the middle looks like it hides office supplies and plugs instead of having a drawer. Very interesting.

Do you have a near by Ikea? You may be able to combine a couple of their pieces to get this look.

Show the picture to a good trim carpenter and get him to do it....The minimalist look with the straight lines is generally beyond the dyi'er due to the precision cuts required....Not trying to discourage you just want you to be happy with the project.

Or take the photo to Home depot, they will fill the order and even give you printed blueprint/instructions for the assembly.

Looks like it's all framed in first than skinned with plywood, but I'm looking at it on a phone.

Go to public library check out older books a building built in's. Or a book about building bankket seating. Those are built to wall by framing it in, than skinned.

Look for books from 60's through 90's. This looks like a modern take . If the furniture pieces make you think of the Brady bunch TV show, that the book to look at for starts.