The form usually provides you with instructions on what to do if you cannot show up or are exempt from jury duty. If you don't take one of those steps, then you will need to show up or risk being in contempt.
California law says you are qualified to be a juror if you:
Are a U.S. citizen
Are at least 18 years old
Can understand English enough to understand and discuss the case
Are a resident of the county that sent you the jury summons
Have not served on a jury in the last 12 months
Are not currently on a grand jury or on another trial jury
Are not under a conservatorship
Have had your civil rights restored if you were convicted of a felony or malfeasance while holding public office
No one is exempt because of his or her job, race, color, religion, sex, national origin, sexual orientation, or economic status.
You will probably need to at least appear. The clerk will tell you whether you are somehow not qualified.
The military does NOT classify crimes as misdeanor or felony. References to such in bogus movies sucha A Few Good Men are wrong.
Whether or not you have a felony in CA is based on how CA compares your convicted offense with something the same or similar in CA.
Right now you have a "federal conviction." Even though your case is on appeal with NMCCA (because of the Bad Conduct Discharge) that does not mean you are not "convicted."
www.court-martial.com; www.court-martial.us.com; firstname.lastname@example.org 703-298-9562, 800-401-1583. Answering your question does not create an attorney-client relationship.
Phil Cave is correct, the terms felony and misdemeanor do not apply to court-martial sentences. If a court is summoning you to jury duty, you either have to go, or correctly follow their procedures or exceptions for not going. When in doubt, It is better to go and tell the court that you erred on the side of showing up. You may very well be dismissed based on California's classification of your military conviction, but if you are having a tough time deciding whether or not you have to go, then that uncertainty is a sign that you should let the court decide... after you show up.