You are welcome. I had to ask about the card because so many people asking here think every Mac noetbook came with wireless. Wifi wasn't standard equipment on iBooks until 2004.
— It's been forever since I've been to a Starbucks, but I'm not sure if they use a password to connect to their wifi. If they don't, do you think I'll run into any issues with connecting?
Not sure. I don't think the "log-in/no log-in issue" is affected unless the software running the WI-FI network refuses to recognize really old macOS versions. It seems the industry as a whole is quicker to abandon old versions of macOS than is Apple!
— As a adendum to this question, how about hotel wifi? The last time I connected, there was a pop up where I had to put my room number and last name to connect to it. Does this act like WPA, or is this more like approving a device on an otherwise unprotected wifi?
Room number and name sounds more like a way to keep outsiders from sniping the signal by non-customers that a conventional password system, so the type of security protocol may not be a factor. The level of wifi security is set and can only be changed by the administrator. Even if the main system can handle WEP, it is not available to users unless it is activated on the base station by the admin.
I think the larger problem you will encounter is that few web sites support ancient browser versions. You could have the best connectivity possible and still be told the site does not recognize your geriatirc browser. I've encounters that on much newer Macs that yours.
I need to research other possibilities. Probably can't get back here until Thursday.