There is a bunch of internet cafe located in the area close to Hotel Puerto del sol. Usually 75 cents per hour, fast high speed connections unlike those in Costa Rica . All with AC.
Puerto Del Sol, where we spent a few nights, has its own freebee WIFI for it's guest. Free one hour per room per day.
Gran Hotel Nacional, where we also spent some time there, has it's WIFI available in the lobby, as well as it's own business centre.
Stores and restaurants open on Sundays , generally. However, most of them that open on that day operate on shorter hours.
Stores close at 5 PM mostly Sunday.We were shocked to find the bar at Hotel Iris closed for almost the whole Sunday, even a restaurant at one other hotel closed totally that day.