The Fermi data released to the scientific community is governed by the data policy. During the first year of scientific operations these are:
The released data can be accessed through the Browse interface specific to Fermi.
You can also download the FITS files from the FTP site.
The analysis tools that are currently available to analyze GBM data, and documentation of the analysis system, are available here.
Note that the LAT and GBM data are accompanied by caveats about their use.