Short answers, pulled from the story.
Suetonius was probably born around AD 69, a date deduced from his own remarks about Nero's death. Most scholars place his birthplace at Hippo Regius, a small north African town in Numidia corresponding to modern Annaba, Algeria.
Suetonius is best known for De Vita Caesarum, commonly called The Twelve Caesars, a set of biographies covering twelve successive Roman rulers from Julius Caesar to Domitian. It is his only fully extant work and was probably written during the reign of Hadrian.
Pliny the Younger was a close friend and patron of Suetonius. He helped Suetonius purchase a small property, interceded with Emperor Trajan to grant him the ius trium liberorum tax immunity, and brought him into favour with both Trajan and Hadrian.
Under Trajan, Suetonius served as secretary of studies and director of imperial archives. Under Hadrian, he became the emperor's personal secretary, ab epistulis, one of the most senior administrative roles in the empire.
According to the Historia Augusta, Hadrian dismissed Suetonius for conducting himself too informally around the empress Vibia Sabina. Scholars treat this account with caution, as the Historia Augusta was written more than 150 years after The Twelve Caesars and is considered unreliable.
Suetonius wrote the De Viris Illustribus collection, portions of which survive, including the Lives of the Grammarians, fragments of the Lives of the Rhetoricians, and the life of Virgil. Dozens of other works, including Roman Manners and Customs, Methods of Reckoning Time, and Lives of Famous Whores, are known only by title and have been lost.