Printing top copper layer on paper
You can check the answers on this related question: Related question

Pretty much boils down to this:
You can print the board design directly or as pdf. However a lot of printers, pdf renderers automatically scale the image or fit it to the page.
Make sure you have the right "scale factor" or the "actual size" options enabled and you should be good to go. 

EDIT:

If you have your board layout go to the upper left corner, and press the button with several coloured squares on it. 

After this you deselect all except for the top layer, or any layer you want to be seen on the print


if you then go to file > print only the top layer (or the layers you wanted) should be visible and you can print


EDIT #2: Ground fills

If you want to remove a ground fill, after using ratsnest. you can use the rip up tool. If you select the ripup tool and click on the dotted outline of the layer the filled polygon is on the fill will revert to just its dotted outlines. if you ratsnest afterwards the fill will return.