I know what you're talking about, but do you think mobile sites could possibly get away with not displaying that 'extra' information? Especially considering screen real estate on mobile devices is fairly limited.

If it is absolutely necessary, it seems like it would be fairly easy to have that show up when you select a section. That could get complicated if there are multiple paragraphs within a section (i.e. one for burgers and one for chicken sandwiches, but both of those are under "sandwiches"). You could just limit it to one description per category, though.