Drain and rinse the chickpeas. For a smoother texture, gently rub them in a clean towel to remove the skins.
In a food processor, combine the chickpeas, garlic, tahini, lemon juice, and the entire jar of sun-dried tomatoes with their oil. Blend until mostly smooth.
With the processor running, slowly stream in the olive oil and continue blending until the hummus is creamy and well combined.
Taste and adjust with more lemon juice, garlic, or salt if desired.
Spoon into a serving bowl and drizzle with extra olive oil. Garnish with chopped sun-dried tomatoes or fresh herbs if desired.