According to the Miami Herald:

"The media is gaining access to the ballots under Florida's public records law, which classifies ballots as public documents available for inspection. Since all ballots are anonymous, voters need not fear that media organizations will discover who voted for whom."
 

The New York Times points out:

"Under Florida law, outside observers cannot actually touch the ballots; only county elections officials can."

http://www.nytimes.com/aponline/politics/AP-Media-Recount.html