In general, felonies in California are not divided by class. Some have degrees (such as murder and burglary), but possession of drugs is a felony.
You should absolutely request the services of a public defender. This should be what every person charged with a crime should do if they cannot afford to hire private counsel. You have never been convicted before and you hope to not make this your first. A criminal defense lawyer (public or private) SHOULD explain the charges, defenses, rights, and potential consequences to his or her client.
Daniel A. Flores