It is difficult to compare current unemployment with that during the Great Depression. In the Depression, unemployment numbers weren't tracked very consistently, and the U-3 and U-6 statistics we use today weren't used back then. And statistical "adjustments" such as the "birth-death model" are being used today that weren't used in the 1930s.
But let's discuss the facts we do know.
The Wall Street Journal noted in July 2009:
The average length of unemployment is higher than it's been since government began tracking the data in 1948.
The job losses are also now equal to the net job gains over the previous nine years, making this the only recession since the Great Depression to wipe out all job growth from the previous expansion.
The Christian Science Monitor wrote an article in June entitled, "Length of unemployment reaches Great Depression levels".