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Templates built into Word don't have these problems, so copying and pasting into a built-in template is one option, as long as the label shapes don't get copied over. To stop the gridlines from printing in downloaded templates in Word 2016, choose File, then Options.
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The third way is to change the setting. In the Word Options window, choose Display and then un-check the box under Printing Options that says Print drawings created in Word. Check the box that says Print background colors and images if those are in the document.
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Note: This will also prevent WordArt and Shapes from printing, so re-check after printing if you need to print those types of graphics in other projects.
If you do want the Gridlines to print, you can do that in Word