Note: these are the goals for a male golfer, female golfers have a slightly different set of goals.
You will be given the PGA Tour goals once you've turned professional (Unlocking the "Never leave home without it" achievement).
There are 14 goals in total with requirements broken down below:
Be a wire to wire champion - This requires you to play and be in the lead for all four rounds of same tournament. If you have tournaments set to 1 round as advised in the road map change this setting for 1 tournament through the Career Info/Tour Settings menu. You can change it back once this goal is met.
Become rookie of the year - This will unlock at the end of your first season if you've been winning most the tournaments, which you should be aiming to do!
Be in the top 10 - You need to complete 37 tournaments and finish in the top 10. You can get this eventually by playing the whole first season and then only playing major tournaments in subsequent seasons for those career goals.
Be a title defender - Win the same tournament 2 seasons in a row. This will come naturally if you're completing the other goals in this list.
Be a money list leader - This will come naturally at the end of the first season if you win or place highly in all tournaments you enter.
Be at the top of the charts - This will come naturally at the end of the first season if you win all tournaments you enter.
Be a career slam champion - Win all 5 majors in your career - this will also come naturally at the end of the first season once all majors (The Masters/UK Open/US Open/PGA Championship/Players Championship) have been won.
Be a leader in PGA tour wins - You need to compete in and win 18 tournaments in one season - i'd advise doing this in your first season.
Achieve the most FedEx cup wins - The FedEx cup is based on points scored over the season and will be awarded at the end of each season. This will unlock naturally at the end of the second season at the earliest.
Achieve the most Masters wins - You need to have won the Masters tournament 6 times, so this can only be unlocked from the 6th season or more.
Achieve the most US Championship wins - You need to win the US Open 4 times, so this can only be unlocked from the 4th season or more.
Achieve the most Open Championship wins - You need to win the UK Open 6 times, so this can only be unlocked from the 6th season or more.
Achieve the most PGA Championship wins - You need to win the Players Championship 5 times, so this can only be unlocked from the 5th season or more.
Achieve the most major championship wins - You need to have won 18 major championships, and you'll need to have won 21 to complete the other goals so this will come naturally.