I don’t think he can plead the 5th. There was a lot of discussion about it when President Otto Penn did all the pardons.
I don't think he can for the time period of the pardon. I think he will use "I don't recall". He can definitely take the fifth after the pardon for questions such as:
Dr. Fauci have you contacted former employees to destroy documents or lie to .gov investigators?
That is not how it works, the 5th is not about refusing to testify to avoid committing a crime, it is about not testifying to crimes you may be under investigation for.
This is the same as forcing a person to testify under oath once given immunity, one cannot refuse to answer by pleading the 5th.
This very issue was decided a long time ago under Brown v. Walker https://supreme.justia.com/cases/federal/us/161/591/