Unfortunately, I do not have good news for you.
A felony conviction costs you your state and Federal rights. You can look into getting your felony matter expunged or reduced and dismissed. California will walk you through the whole process from eligibility on through providing you with the forms. That can be very helpful to you for most purposes.
Here is the site to do that: http://www.courts.ca.gov/1070.htm
When you use the self-help link above and get to the home page, click on "Criminal Law" from the column on the left. Then click on "Cleaning your Criminal Record," scroll down towards the bottom of the page to the links and expand them so that you can see all of the steps.
As far as gun rights are concerned, however, unfortunately, the Federal government does not recognize a California expungement or reduction under PC 1203.4, for purposes of restoring your Federal gun rights. A California pardon based on a Certificate of Rehabilitation and a finding of innocence probably would satisfy both California and the Federal government, but frankly, this is very difficult to get.
This site will give you a lot of information about the state of the law and the interaction between the California and Federal government in this area, but it won't, unfortunately, provide you with much hope to get your gun rights back unless/until the law changes.
Still, there are lawyers who specialize in pardons, expungements and restoration of gun rights, and you might want to speak to one to see your realistic chances of weapon ownership, since they will vary with the facts and circumstances of the case. Also with a new president taking office who ran on a 2nd amendment platform, the climate for change in this area may be favorable to you.