Is it true Thomas Hobbes idea of a social contract people agree to give up all freedoms in exchange for the order provided by government rule?

Yes, Thomas Hobbes described the social contract as individuals giving up some freedoms to form a society in which a sovereign authority maintains order and prevents the chaos that would exist in a "state of nature." Hobbes believed that people willingly surrender their freedoms in exchange for the protection and stability provided by the government's rule.