By default, Preview displays pages like this in two-page mode:
How can I get it to display them like this instead?
Acrobat does the latter but Acrobat is not nearly as responsive with this file as Preview is.
MacOS – Control odd-even page pairing in Preview in two-page mode
macospdfpreview
Related Solutions
When you have a file that you want to print as a PDF, go to "Print.." (Command ⌘ + P) and select "PDF" in the left hand corner:
Then select "Save as PDF...":
Then, you'll be presented with a save dialog:
Using this method, you shouldn't need to have a printer installed.
A simple solution is add a blank page next to the first page of the document. So it shifts all pages. Use it from Edit > Insert Blank Page.
Best Answer
I didn't find any way to display facing pages the other way in Preview. In Skim you can uncheck PDF > PDF Display > Book Mode.