Although practicing the previous chromatic scale will certainly provide you with great benefits (like limbering up your fingers), it is admittedly not a whole lot of fun. Most people love to play "chords" on the guitar. Playing a chord involves using your pick to strike at least two notes (often more) on the guitar simultaneously. The following are three of the most common, and easy to play chords on the guitar.
This diagram illustrates the first chord we are going to play, a G major chord (often simply called a "G chord"). Take your second finger, and put it on the third fret of the sixth string. Next, take your first finger, and put it on the second fret of the fifth string. Lastly, put your third finger on the third fret of the first string. Make sure all of your fingers are curled, and are not touching any strings they're not supposed to. Now, using your pick, strike all six strings in one fluid motion. Notes should ring all together, not one at a time (this could take some practice). Voila! Your first chord.
Now, check to see how you did. While still holding down the chord with your fretting hand, play each string (starting with the sixth) one at a time, listening to be sure each note rings out clearly. If not, study your hand to determine why it doesn't. Are you pressing hard enough? Is one of your other fingers touching that string, which is preventing it from sounding properly? These are the most common reasons why a note does not sound. If you're have trouble, read this feature on getting your chords to ring clearly. guitar.about.com