You can start now!
Here's the ad the campaign posted, seeking interns, on the listserv JobsThatAreLeft:
Gillibrand for Senate Internship Announcement:
Gillibrand for Senate seeks energetic, hard working individuals to help in a variety of roles on the campaign. The campaign is based in New York City and has internship openings starting immediately. This position presents a unique opportunity for talented individuals to gain significant experience on a fast paced campaign and launch a career in the field of politics and government. Please email firstname.lastname@example.org or call 212-481-2010 for more information.
Gillibrand easily won her primary and general election last year. But that was to finish the remainder of Hillary Clinton's term. This upcoming election, in 2012, she will be running for a full six-year term.