Bleeding gums and other signs of gingivitis around the time of your period can be a pain, but they're usually nothing to worry about. The symptoms usually clear up on their own, either when the period begins or by the time it ends, as the ADA notes. For the most part, you don't need to see a dentist if you have this type of gingivitis.
If you happen to have an appointment for an exam and cleaning around the time of your period, and you've noticed signs of menstruation gingivitis before, you might want to try to schedule your appointment for the week after your period, so that your gums won't be more sensitive than usual.
Although this type of gingivitis isn't usually a cause for alarm, if you continue to have bleeding, swollen gums and other symptoms, or if you're noticing unexpected changes in your gums, it could be something else. Make an appointment with your dentist. They can examine your gums, recommend gum disease treatments if needed and give you tips on how to prevent bleeding and other gum issues in the future.
No matter where you are in your cycle, keeping up a good oral care routine at home is essential. Brush your teeth twice a day, and floss at least daily. Don't be shy about asking your family dentist for any pointers and advice about how to keep your mouth healthy throughout your cycle.