Go here and learn four chords.
http://www.apassion4jazz.net/strings.html
Click in the section headed open position. The top of the diagram is equal to the top of the guitar neck (where you tune it). The vertical lines are the strings. The thickest string on the left, the thinnest on the right (If you are a right handed player).
Learn the following 4 chords ( G major, E minor, C major, D major) and you will have hundreds of songs opened up to you. Whilst this doesn't make you a virtuoso, it does keep you interested.
If you learn these chords you can now strum along to "Every breath you take" by the Police. Just strum each chord once downwards on the first word of each line and you will at least learn the verse.
G major - Every breath you take
E minor - Every move you make, etc
Also Ben E Kings - stand by me is the same chord progression. Once you learn these then move on further.
Remember though to learn these chords by clicking on the chord you neeed under the open position heading.
Good luck and most of all. - HAVE FUN!!!