Select the text with the selection tool or the direct select tool.
then in the Appearance Panel from the flyout choose either New Fill or New stroke.
then if new Fill select the fill in the Appearance Panel give it the color you want.
The make sure it is below the old Fill or Characters in the Appearance panel
while still highlighted in the Appearance Panel and selected on the artboard go to Effects>Path>Offset Path and give it a positive increase size.
if New Stroke
while still highlighted in the Appearance Panel and selected on the artboard go to stroke Panel and increase the weight of the stroke making certain the new stroke is below the old in the Appearance Panel or below the Characters.
You can add more than one fill and one stroke.
Further help with the Appearance Panel (the second most important part of Illustrator) can be found here:
There are 3 parts to the tutorial so far. I haven't finished yet...