Heat up the green peas in their liquid, then drain and let cool.
In a long glass dish, layer lettuce, onions, green bell peppers, celery and peas in that order--taking care to sprinkle the sugar evenly over each layer of peas.
(If you only end up with one layer of each item, that's fine, too--it just depends on the dish you use.)
Cover top layer with the mayonnaise, then sprinkle on the bacon bits and shredded cheese.
Cover with clingfilm and refrigerate overnight, then serve and enjoy!