It depends on the industry you are looking for a job in. The health industry is good. However, the education industry is not doing so well.
As of November 2011, the Jacksonville unemployment rate is 9.5%. By comparison the Florida unemployment rate is 10.3% and the US national unemployment rate is 8.6%. I don't personally live in Jacksonville, so it is difficult for me to answer the question. But I hope at least the statistics help a little:)