Do you want to toggle the check box in the first column when the corresponding file name in the second column is double-clicked? If so, then you can try to do this in an event handler of the CellDoubleClick event. You will also need to disable the default action (editing) by setting e.DoDefault to False in the event handler.
I also do not see that you set the cell values in the check box column to 0 or 1. Add this assignment to your initialization code.