In a food processor, whirl 4 garlic cloves to mince. Whirl in 1 large egg plus 1 egg yolk, 2 tbsp. lemon juice, and 1 tsp. kosher salt into a smooth paste. Drizzle in 1 cup extra-virgin olive oil and 1/3 cup canola oil.
Make ahead: Up to 1 week, chilled.