Well done. I am a fan of the Duo series, and have a nice little 270c myself.
As to your question, I am afraid that Remote Access is for dialing into and so connecting to an Appletalk network (via another modem connected to an Appletalk Remote Access Server). It is a sort of "phonenet" system, in a loose sense, but using modems to communicate on telephone wires to another computer located at the end of a telephone somewhere in the distance. If that computer is connected to an Appletalk network, Remote Access will also allow you to connect to the whole of that distant network. Remote Access is not for connecting to the internet as we know it, and as it is not TCP/IP-based, you are not going to get anywhere near the www with it.
You will need to set up your modem using the appropriate Control Panels to connect to your ISP. Do a little digging and you'll get there. Search for Macppp as a start.
The modem in your 270c or 280 was most likely supplied with only Remote Access in view; the internet of today was hardly thought of in 1993, and in any case, it was so unwieldy and command-line like that Apple evidently believed it would be better to by-pass it so far as possible by developing and using its own networking alternatives, which were vastly more user-friendly and in some respects genuinely did seem much more promising back then. Well, we know how that turned out.... Shame really.
So, you'll need to persevere and acquire the extra software for a ppp/ dialup connection to your ISP. It will likely work, but it is going to be REALLY SLOW, as that's a 68030 in the 270c and (a better bet) a 68040 in the 280, and it's a software modem, meaning that it runs on your cpu. Plus, it's a 14k modem (if you're lucky). Plus, the early versions of the Apple Telecom Software which runs it (as I recall) were notoriously buggy. Plus, that 68030/040 is going to have to render modern html. You've got lots of time on your hands, I trust?
I wonder, mind you, what sort of mileage you'd actually get using Remote Access on that hardware? And better still, via Remote Access used in the context of a proper Appleshare setup (e.g., using Remote Access in combo. with Powershare and similar tools of the day). That would be an interesting test in functionality and usability.
I've been looking for the "Powershare Collaborative Server" software for years in this connection: I'd like to give it a whirl, but it just can't be found.
How's your keyboard, by the way? The Duo keyboards are much maligned, but they are not all so bad. I have a couple that are unusable, truth be told, but I also have three on three working Duos that are absolutely fine. One is actually a really nice keyboard to use (came off a 2300c).
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