There is a restaurant in Rome – or at least I’m pretty sure it’s Rome – famous for serving an ultra-minimalistic dish consisting of just fresh pasta, garlic and butter, possibly with a modest amount of freshly crushed pepper. If I remember correctly it’s named after the owner. Does anyone know?
I have no idea about your specific dish, though pasta with garlic and olive oil is a pretty standard basic dish, and I don’t think there’s any one restaurant that’s famous for it (I could be wrong, of course).
But, fettuccine served in a cream and butter sauce, with freshly-ground pepper, is widely known as Fettuccine Alfredo, and Marcella Hazan’s The Classic Italian Cookbook says:
Alfredo di Lello, to be exact, and according to this dictionary, the restaurant’s name is Alfredo all’Augusteo.
I may indeed be thinking of Alfredo di Lelio, but I’m not sure. For one, I was under the impression that it wasn’t fettuccine Alfredo it served, just a pasta + butter dish, and in fact not much else. The interior was also rather rustic-looking compared to the interiors depicted in the (all too small to make out all the details) photographs on the site.