I don't know this particular location but in other tourist areas of coastal Spain there are shopping centres, cafes and bars that have free WiFi on site. The first are the best because you don't need to buy anything (Starbucks and McDonalds sometimes/often charge for WiFi). The best thing is simply to ask around, you'll soon find someone who knows (but not your resort/hotel if they charge for internet access). These facilities are perfectly acceptable for e-mail and modest browsing, but too slow for quite a few other operations.