Hi, apologies for the late reply. Ok, lots of what’s been said above will work. Note that Grease Pencil object won’t behave exactly like meshes or curves, sometimes vertices and edges are going to double up. However the above should be fairly straight forward. Here’s a couple of ways you can do this:
Take a plane, delete only the face, then subdivide once (so I can get what you had in your picture):

In Object mode, right-click to bring up your Object context menu, select Convert To>>Grease Pencil

Tinker with the Convert To menu that pops up as soon as you do this – it might be collapsed, so just open maximize it to see the settings. Threshold Angle should fix your issue – 90+ degrees should be enough for this example. Anything lower will assume the stroke ends and a new stroke begins (hence the double up). You can also give this thickness, do an offset, and if you had any faces, you can also export those! (This has been an update since I released Panels FYI)

Merged points.
