Trim the garlic cloves of anything dry or hard, and remove the green shoot in the center (it's better if the garlic is so fresh that the shoot isn't even there).
In a blender, combine the garlic and half of the lemon juice. Run the blender until you have a translucent, pale liquid with few visible solids.
Add all the other ingredients except the 100% pure olive oil. Add two tablespoons of water. Run the blender for about thirty seconds.
Add a few drops of the pure olive oil and run the blender on medium speed. After thirty seconds, add the pure olive oil in a thin stream while running at medium-high speed. Continue adding the oil until it gets noticeably thicker.
Turn the blender off and stick a spoon into the dressing to taste it. Adjust with salt and black pepper to taste.