Is Mary Tudor also Mary 1?

Yes, Mary Tudor is Mary 1 (1516 - 1558) eldest daughter of Henry VIII (1491 - 1547) and his first wife Catherine of Aragon (1485 - 1536).

Henry VIII's youngest sister was Princess Mary Rose Tudor (1496 - 1533), and as Henry and Mary Rose were close, he named his daugher Mary after her. The warship the Mary Rose was also named after Princes Mary Rose.