Now carrying a tablet PC such as an iPad and/or a smart phone has become a normal style of travelling abroad. But, 3G Internet connection abroad is expensive and there are few free Wi-Fi spots in Japan. Most Wi-Fi services need registration or mail certification through a screen in Japanese and/or fees.
Perfectly free Wi-Fi service without any registration nor fee is now available at Kurasshic-kan, a landmark of Nakamachi Street. You can connect Wi-Fi in a open public space, a tea room (electric wave is weak, open 10:00 – 17:00 (10:30 – 16:00 in winter)), and a square in front of it, from 8:00 till 22:00.
Some other places in Matsumoto such as cafes offer Wi-Fi servcice. One of them I know is a cheep cafe restaurant with a good view on the 10th floor of Toko City Hotel in front of the Matsumoto Station.
In and near the Tourist Information Center in front of the Hotaka Station which is a gateway to the Wasabi Farm also offers perfectly free Wi-Fi service.