Start by adding the crumbled feta, softened cream cheese, olive oil, minced garlic, and lemon juice to a food processor. Blend until smooth and creamy, about 1-2 minutes.

Gently fold in the chopped green olives and pulse a few times to incorporate but retain texture.

Season with black pepper and optional dried oregano and red pepper flakes. Blend briefly.

Transfer to a serving bowl and refrigerate for at least 30 minutes.