This includes no laptop/phone etc.
(i mean this in a fun way, so feel free to answer this question as though your study/school/work commitments were not applicable for this time period).
Is "cry" a valid answer?

Reading and hiking would probably be highest on the list (though how am I supposed to find new places to hike and how to get to them without the internet?

OK, technically I do own a few "day walks around Melbourne/Victoria" books, and hardly ever use them...). Oh, and if I'm doing the hiking I also need my phone for offline maps and a clock, at least. Maybe a camera when my actual camera runs out of battery.
In fact, I actually have a practical example (sort of): Last month I spent 7 days walking the Great Ocean Walk. As it happened, there was mobile coverage at some points of most days, but I didn't know how much I'd get in advance and so had to plan for no internet.
When I had it, I used it for sharing some of what I saw with friends and family and letting them know I was OK ("Yes, I saw koalas and that was cool. No, no drop bears assaulted me - must have been the Vegemite behind my ears"). But it was a great time, and I could have got by just fine without internet for that week.