When I was at La Torre a few weeks ago there was a flyer in the Mailboxes or in the Supermarket about someone offering Spanish Lessons. I didn't honestly take much notice as to the details, but am out there next week so if I see it again I will take more note.
I imagine there are lots of places which give lessons. There seem to be a lot in the local 'English' papers (Costa Blanca News and those sort of papers). At some point I think that the School at La Torre will eventually offer too.