Tell us a little more about your commute (how long, and if there is anything unusual about it). What kind of roads/trails, and what kind of condition is the pavement? For example, if part of your commute was on loose gravel, these skinny tires might not work very well, and something more like a mountain bike might work better. If you were on decent pavement the whole way, then these types of tires would probably be fine.
You would want to make sure that the frame size is appropriate for you, of course.
Other than this, I can't think of a reason why this bike wouldn't work well for you.
The other problem with these older bikes is that they have the older inch sized tires, so getting replacement tires can be a little harder.