No, he is not confirmed. Yes, to make his action official and within the laws, he must be confirmed as a cabinet member in Trump's administration. That has not been done yet.
Read this to see how he is converting one Department, the USDS, into the DOGE. Still, the Director of such a department, requires congressional confirmation, like any other department within the Executive Branch.
So eventually, inorder to make Elon Musk an official member of the US government, and the department he leads office, he needs to first be confirmed by the U.S. Senate.
"The United States Constitution provides that the president "shall nominate, and by and with the Advice and Consent of the Senate, shall appoint Ambassadors, other public Ministers and Consuls, Judges of the Supreme Court, and all other Officers of the United States, whose Appointments are not herein otherwise provided for." (
Article II, section 2).
The president nominates all federal judges in the judicial branch and specified officers in cabinet-level departments, independent agencies, the military services, the Foreign Service, and uniformed civilian services, as well as U.S. attorneys and U.S. marshals. The vast majority are routinely confirmed, while a small
but sometimes highly visible number of nominees fail to receive action or are rejected by the Senate.
In its history, the Senate has confirmed
126 Supreme Court nominations and well over 500 Cabinet nominations."