I just started up my central a/c unit for the summer and noticed no water is dripping from the pvc drain pipe outside. The unit seems to be cooling the house okay, but is no condensation a sign of any problems it?

I doubt it is a problem. Usually more water will drip when it is more humid outside. Since it is earlier in the year it is probably just not producing as much condensation. I wouldn't worry about it if it is operating normally.