Monica Goodling granted immunity

(TPM) "The House Judiciary Committee, by a vote of 32-6, just authorized a subpoena for Monica Goodling's testimony and an offer of immunity."

And from Iglesias interview on Hardball last night,

I think Monica Goodling is holding the keys to the kingdom. I think if they get her to testify under oath with a transcript, and have her describe the process between the information flow between the White House counsel, White House and the Justice Department, I believe the picture becomes a lot clearer.

I'm not sure how this plays out. Does she stand on her 5th Amendment claim until the Senate also grants her immunity? Can she do that?