Apollo was the sun god and the patron of arches but he was also the patron of Doctors, true or false?

This is true. Apollo is indeed associated with the sun (though Helios was originally the distinct sun god, Apollo later absorbed this role). He is the patron of archery (the question says 'arches' which is likely a typo), and he is definitely the patron of doctors, medicine, and healing - his son Asclepius became the god of medicine. Apollo presided over prophecy, music, poetry, and healing.