In the main square of the town, in front of "Igreja de Santa Maria" there is a Free Internet point.
You only have to give some personal data (nothing sensitive) for statistics (I suposse) and get seated in one of the 12 free computers (there are no more).
The access is not very fast, when sharing the band whith many people it colapsed a little bit, but it is absolutley free.
Address:
Rua Direita, nº 107 (Casa do Pelourinho) Obidos Leiria Portugal