That's amusing, but it's another logical fallacy (non sequitur). :)
Was advertising necessary to produce all of this inarguably useful technology? Is this technology somehow unique in the world?
There are alternatives to all of those products that are not monetized via advertising. You may argue that they're not good enough, and I may agree to some extent, but they certainly work well enough for many people who decide to not use Google and other ad supported products and services.
Google et al don't have a monopoly on "amazing" technology. They just dominate the market to make it seem like they do.
Besides, it's not like Google developed these products in a vacuum (except perhaps early web search). Many of them are based on the work of other companies and individuals, which they either acquired, forked, or depend on. Which is fine, but the point is that not all of it is built and maintained entirely by G.[1]
[1]: The Roman analogy actually works in this sense as well, since accomplishments of the Roman empire were also largely based on work borrowed, adapted, or simply stolen from others. So were all the atrocities they committed necessary to advance technology? Perhaps. But if alternatives existed during their time that didn't come with the same downsides, I'm sure people would choose to use those instead, which is where your analogy falls flat. :)