Easily done on you first visit to the Masters in career mode on Amateur settings. Note that spin is disabled for the masters round(s) so you will need to aim a bit more carefully as you will not have spin to correct swing mistakes. Using the caddie recommendations will usually get you pretty close to the pin for an easy birdie putt.
Additional Note: This must be done during the career and cannot be achieved in quick play. Seeing as you will need to win the Masters 7 times for Unstoppable! anyway, you will have plenty of opportunities but again you will likely get this on your first attempt. To increase your chances if you are having trouble, increase the round total to 4 for the tournament to quadruple your chances to break 63.