Charting helps you figure out if & when you're ovulating, and how long your luteal phase is (the time from ovulation to menstruation). Since you're on the pill, you're not ovulating, so charting wouldn't tell you anything. If you just want to get in the habit of temping though, you can start now.
Bcps prevent ovulation, and keep your uterine lining thin so as to be inhospitable in the small chance that an eggie slips out.
I'm excited for you to start ttc!