Do not have experience with flooded fridges but have saved other electrical products that have gotten wet.

A model number may help others help you.

It is important to not apply power until you get it dried out.

Remove the kick plate and the rear cover.
Remove the starter and overload from the compressor.
Heat them up several times with a hair dryer letting them cool all the way down between settings.
Depending on how dirty the water was you may want to just replace them.
Dirt in either of the above will just cause problems in the future so it is important that they be clean.
If connections are dirty on the compressor clean them using contact cleaner.
Heat the compressor up as above.
Clean the evaporator coils under the unit.
If muddy I would use a hose just try not to get everything wet again.
Remove the condenser (compressor) fan and again do the heat/clean routine.
I would hook this up to a line cord and try it before re-installing.
If you can put the unit outside in the sun for a few days to dry it out.

All the above is a bit of a gamble but may be worth the risk.

A lot depends on how high the water got.
Following are a couple good sites with basic fridge repair info.
http://www.applianceaid.com/frig.html
Refrigerator Repair Guide: How To Fix a Refrigerator - ACME HOW TO.com