[Taylor814]

Fingerstyle is more than applying a finger to a note. It's really a method of playing a melody line with the fingers along with harmonization using the thumb. In a sense it's similar to a piano where the bass and treble clefs have been condensed into one clef. In fact, if you look closely at a fingerstyle score you'll see that the sum of all the notes and rests in a measure will add up to twice the beats in the time signature because there are actually two lines represented.

One way to start getting used to this might be to play arpeggios, but there are numerous books on the subject. Mark Hanson has published a number of good ones on learning fingerstyle that you might take a look at. Lastly, although many here may not agree, I think that getting a book on beginning classical guitar could actually be very useful.