Preheat the grill to 550˚F.
Preheat the oven to 350˚F.
For the Anchovy & Herb aioli, locate a tall and narrow container meant for an immersion blender.
Add the whole egg to the blending container, along with the sunflower seed oil, half garlic clove, Dijon mustard, lemon zest, lemon juice, and a tiny pinch of Kosher salt & freshly-ground black pepper.
Blend with an immersion blender until your mixture arrive at a mayonnaise-like thick consistency.
*This should take roughly 20 seconds.
When you have arrived your desired aioli consistency, fold in the freshly chopped herbs and the chopped anchovies.
Taste the mixture, and add more lemon juice, salt, or black pepper as desired.
Set the Anchovy & Herb aioli aside for use later.
For the croutons, tear the bread into small bite-sized chunks, and toss them together in a large bowl with a few Tablespoons of olive oil, along with a pinch of Kosher salt and freshly-ground black pepper.
Place the seasoned and oiled bread chunks on a parchment-lined sheet tray, and bake in the oven for roughly 8-10 minutes at 350˚F, or until the croutons have begun to take on a light golden color and have gotten gently crispy on the outsides.
When the croutons are done baking, remove them from the oven and set them aside at room temperature to cool down.
When your grill is adequately preheated, quickly char the romaine lettuce quarters and the sliced apples for a minute or two on each side.
*Cook them for enough time to give some color to the outsides of each grilled item.
Serve the wedges of grilled romaine lettuce with some of the anchovy & herb aioli that you made earlier, along with some of the grilled apples, cherry tomatoes, grated parmesan cheese, and toasted croutons.