I had accompanied a Korean friend to buy tableware at a Korean pottery store on Yonge Street, between Steeles and Clark (in the Thornhill area). However, I can't recall if they have the thick stick/stirrer that comes with the stone bowl. And I bought all my bowls from the Japanese owned Utsuwa-No-Yakata (there are three stores in Toronto at least), which carries a variety of bowls with sticker "Made in Japan" on each of them but I always think they are made in China.
Anyway, there is a Utsuwa-No-Yakata in Pacific Mall (bet Steeles and Kennedy). Another one is in a mall close to Bathurst and Steeles, right next to the T & T Supermarket. And there is one in Commerce Gate, Richmond Hill. You can probably look them up in Yellow Page or their website, call them and ask them if they have the stuff you want or for driving directions.