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If you are not planning to stay in California permanently, you can continue to use your New Jersey license.
http://www.dmv.ca.gov/dl/dl_info.htm#two500
If you are a visitor in California over 18 and have a valid driver license from your home state or country, you may drive in this state without getting a California driver license as long as your home state license remains valid.
If you become a California resident, you must get a California driver license within 10 days. Residency is established by voting in a California election, paying resident tuition, filing for a homeownerβs property tax exemption, or any other privilege or benefit not ordinarily extended to nonresidents.