Place the quinoa in a medium saucepan. Rinse with cold water, drain. Repeat rinsing 3 more times, and then drain the quinoa and return to the pan. Add 2¼ cups water and a pinch of salt and bring to a boil. Reduce the heat to low, cover and simmer until all the water is absorbed, about 15 minutes. Turn off the heat and let stand at least 5 minutes before serving. Mix in the basil and oil and season to taste with salt.