Place garlic, salt, tahini, and lemon juice into a food processor; process until smooth. Pour in the garbanzo beans and 1/2 cup olive oil; process until smooth again, scraping the sides of the bowl occasionally. Once smooth, add the sun-dried tomatoes, and pulse until they have been chopped to very small pieces and are incorporated into the hummus. Finally, add the basil, and pulse a few times until mixed in.
Spread the hummus into a shallow serving dish, and make a few decorative grooves on top. Refrigerate at least 1 hour, then drizzle with 2 tablespoons olive oil and sprinkle with paprika before serving.