Combine the fresh arugula leaves, lemon juice, and minced garlic in a blender. Pulse several times to roughly chop.
With the blender running on low speed, slowly drizzle in the olive oil through the feed tube until fully incorporated.
Add the salt and freshly ground pepper, then blend for 30 seconds until completely smooth.
Taste and adjust seasoning if needed. If too thick, add a teaspoon of water at a time until reaching desired consistency.
If using optional ingredients (Dijon, honey, nutritional yeast), add them now and blend for another 10-15 seconds.
Transfer to a sealed glass jar or bottle and refrigerate for up to 5 days.