The CIA charges No Fees for processing a Privacy Act requests.
The Privacy Act authorizes federal agencies to collect fees for record services [1]--specifically for searches and reproduction--as a matter of administrative discretion; the CIA does not assess fees for either searches or reproduction when processing Privacy Act requests.
Note that the CIA processes requests under the authority of both the Privacy Act [2] and the Freedom of Information Act [3] in order to ensure the maximum possible disclosure for the requester.
Links
[1] https://www.cia.gov/readingroom/fees-and-waivers-foia
[2] https://www.cia.gov/readingroom/privacy-act-1974-5-usc-%25C2%25A7552a-amended
[3] https://www.cia.gov/readingroom/freedom-information-act-5-usc-%25C2%25A7552