Just learn the names of the notes on the first two strings (the fattest two) up to the 7th, then 12 frets. The chords you will learn to start will all have the lowest note (the note on the fattest string) on one of these notes. Looking down while you are playing, left is flat and right is sharp.
for example:
320033
the first 3, is G the chord is G
133211
the first 3, is F the chord is F
244322
the first 3, is #F the chord is #F
577555
the first 3, is A the chord is A minor (the shape here is a minor shape)
X32010
the first 3, is C the chord is C (You don't play the X on the fattest string)
That's a start.