[theanonymousone]

Is it safe to just connect to the WiFi and download e.g. Firefox, or it's better to get it using a Flash memory while still offline?

[l41n]

I doubt anything would really happen. I connect old computers to the Internet and sometimes have a habit of forgetting to disconnect them for a bit too long. Nothing eventful has happened so far.

If you're paranoid, I'd just use your phone's hotspot.