The first thing I do when I get up in the morning is groggily hobble to my computer, press the space bar to wake it from its sleep stage, and check my email. However, I don't see it as choosing Internet over food; I usually don't eat breakfast. (Yeah, don't remind me that it's "the most important meal of the day"—I've heard it a million times.)
Yesterday's New York Times piece profiles people's struggles with technology taking up family time, in particular breakfast being sacrificed for email and other urgent Internet-required activities, such as checking Facebook or Twitter. These days more kids and parents start their mornings with phones and laptops instead of eggs and toast.
Since I don't live with family members I don't have an obligation to eat a communal meal with other people in the morning, but even if I did, I'd still be tied to my computer as soon as my brain exits dream mode. How about you: Do you eat or email first?