There is also a nice little Internet area, I guess you could call it an Internet Cafe in the basement of the
Benidorm Pueblo Hotel. Very reasonable rates and they have webcams as well. There are about 15-20 terminals in there, or there used to be. But i am going from memory here as it has been three years now since I was last in Benidorm.
The only downside was it used to get a bit smokey in there, but now that Spain has a *No Smoking* policy in Public areas that might of changed.