Maybe this trick works for you:
Create or copy the terrain to a new file and set a texture with a grid. For example just a black lined square. You can create a simple image if you can't find one in the texture list. The 2D view should show the texture, i.e. your terrain with a grid overlay. Adjust the texture scaling to get the correct size for the grid.
Select 'Plan', 'Export to SVG format' from the menu and you get an svg image with your terrain with the grid.
Make sure you only have the terrain object when exporting, that's why the new file. Otherwise SVG export will export everything visible, not what is selected.
Sketchup can import svg
If you don't want the grid to strech along the elevations you can create an image the size of the terrain. Make it transparent except for the grid lines. Place a box over the terrain. Modify the box and set the top af the box to your grid image and make everything else invisible. This should show your terrain with the grid in the 2D view.
Export the SVG and see if that is what you need.
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