Yes, they’re two cards. With the date, time and location and name of RN that administers the vaccine . A printed sticker is placed on both cards.
My wife and I only received a single CDC card and it indicates the drug (Pfizer), lot #, location (Jones Beach) and dates, no administrator.
The NYS Passport or Excelsior Pass is two sided and can be maintained in an ap on you phone or printed. One side only has your name and DOB. The other side has a scannable maze in some digital form.