Ok, I downloaded your PDF and opened it with Inkscape and it is an actual vector file although it's all grouped. If look at it wireframe mode there is a green box around it, not exactly sure what that is. But if you ungroup it 4 times you'll get down to individual objects and the green box will disappear. At this point you should be able to save the file as a vector file of your choice, EPS would be the common one, and then import it into your cutting program.
1st floor.eps