This is one hell of an interesting question, and has my mind running in hyperdrive.
My immediate thought would be hands down absolutely I would give up the internet for $1,000,000 (Cash money legally untaxed or after being taxed)
I would find a decent, fertile, suitable sized piece of land with a cabin and a suitable body of water (~$250,000), buy some work horses/mules and implements to work the land (~$15,000), grow my own crops, and then do my best to live of the land with minimal outside (going to town) help. I would raise my own animals for meat (~$5,000 to get started), and pretty much live independently from the outside world. It was done in the past with less resources and could be done today (and is done by some). I could see myself as being absolutely content with living off the land and being a simple subsistance farmer. Whatever I had left of the million after purchasing those things would go towards items and supplies as needed. For example seed, clothing, boots, replacement tools, medical supplies, ammunition, replacement parts for implements, nails, pretty much anything I could not procure from the land or make with available resources.
Before anyone says anything about electricity, plumbing (water bill) and whatnot, I have spent considerable time living very primitively and actually prefer it. It's not nearly as difficult to purify water as one would think, provided it isn't polluted with chemicals. Electricity, to me, the thought of "needing it" is a joke. Just have to trust me on that one.
In saying all this, you could conclude that with what I would give up, the internet portion of it would be hillarious considering that is what I would have given up to receive the million bucks for.
The internet and my computer to me is an entertainment and reference item more than anything. Taking into account how primitively I live currently as it is, what I would give up and do with the million wouldn't be too awful far of a jump.
If anyone finds this interesting and wishes to ask any questions or attempt to "shoot down" this idea, please do so, I'd be happy to answer any questions or explain further.