You're not entirely safe, since you are on someone else's network they can get into your computer with some effort. Maybe install a keylogger, some kind of bot or backdoor trojan to send your info to them. The chances are slim to none however.
Like Photon said, if they are stupid enough to leave their network unsecured, they would know the same could happen to them vice versa so they aren't likely to be the kind of people who would know how to do this.
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