Tocumen International Airport (PTY) sets the pace with free (!) WiFi throughout most of the international terminal and the signal is pretty good, too. And while most touristy places throughout the country have Internet cafes, you won't need them if you're traveling with a laptop, since WiFi seems to be everywhere.
Panama City is covered in wireless hotspots, and even in more distant locales, like the backpacker beaches of the Bocas Del Toro archipelago, which we're exploring this week, we never seem too far from a signal.
This weekend we took a hike through the jungle on a tiny Caribbean isle called Bastimentosóno cars, few shops, fewer touristsóbut halfway through we stopped for lunch at the only open eatery in town and hopped on their WiFi network.
Of course, if you're going somewhere really remote, you'll be out of signal range (we didnít pick up anything in the largely undeveloped Kuna Yala province last week.) But in the more developed part of the country, you can often have better luck finding an unlocked wireless network than in Manhattan.