The order has the force of law and violation is a misdemeanor, so everyone claiming it's just a suggestion and isn't enforceable should stop spreading misinformation. Relevant sections of the California Emergency Services Act below (and these are called out in the Executive Order itself... might be a good idea to read something before you explain it to other people...)
8567.
(a) The Governor may make, amend, and rescind orders and regulations necessary to carry out the provisions of this chapter. The orders and regulations shall have the force and effect of law. Due consideration shall be given to the plans of the federal government in preparing the orders and regulations. The Governor shall cause widespread publicity and notice to be given to all such orders and regulations, or amendments or rescissions thereof.
(b) Orders and regulations, or amendments or rescissions thereof, issued during a state of war emergency or state of emergency shall be in writing and shall take effect immediately upon their issuance. Whenever the state of war emergency or state of emergency has been terminated, the orders and regulations shall be of no further force or effect.
(c) All orders and regulations relating to the use of funds pursuant to Article 16 (commencing with Section 8645) shall be prepared in advance of any commitment or expenditure of the funds. Other orders and regulations needed to carry out the provisions of this chapter shall, whenever practicable, be prepared in advance of a state of war emergency or state of emergency.
(d) All orders and regulations made in advance of a state of war emergency or state of emergency shall be in writing, shall be exempt from Chapter 3.5 (commencing with Section 11340) of Part 1 of Division 3 of Title 2. As soon thereafter as possible they shall be filed in the office of the Secretary of State and with the county clerk of each county.
8627. During a state of emergency the Governor shall, to the extent he deems necessary, have complete authority over all agencies of the state government and the right to exercise within the area designated all police power vested in the state by the Constitution and laws of the State of California in order to effectuate the purposes of this chapter. In exercise thereof, he shall promulgate, issue, and enforce such orders and regulations as he deems necessary, in accordance with the provisions of Section 8567.
8665. Any person who violates any of the provisions of this chapter or who refuses or willfully neglects to obey any lawful order or regulation promulgated or issued as provided in this chapter, shall be guilty of a misdemeanor and, upon conviction thereof, shall be punishable by a fine of not to exceed one thousand dollars ($1,000) or by imprisonment for not to exceed six months or by both such fine and imprisonment.