Unfortunately, you cannot print from within Freestyle the background/guidance grid and the dimensions that come up in blue color when clicking on an object. However, if you take a screen shot that will capture the guidance grid and the dimensions of your object in the open Freestyle session. Then save the screen shot in Microsoft Paint and print it from there.
You can also add this in the Freestyle Wish List hopefully other Freestyle users can find your request useful and vote for it.
Avto Chachava Autodesk Product Support Autodesk, Inc.