Ubuntu :: Download Files From HTTP Server Remotely

I have a question about using ubuntu to download files from an HTTP server remotely and didn't know where to put it, so hopefully it falls under general support. Anyway, I am about to move into a place with an incredibly slow internet connection and a tiny data allowance and my brother has said that, if possible, I can use his internet connection to download any large files to a box I can just leave at his place, then I can simply come over to his place every few weeks and copy said files to a hard drive and all will be well. The problem is that I am not sure how to do this.

Today I went out and bought a few parts and built a cheap computer with a HDD big enough to hold whatever I need, however when I got home I realised I had no idea how I was going to handle the software aspect of this. Is there any way that I can access that computer remotely over the internet and schedule fairly large downloads from an http server? Also after talking to a friend I was told that I need to install the server version of ubuntu if this is to work, is this correct? Also, if its relevant the specs of the computer I have for this is using an "Intel Desktop Board D510M0 + Intel Atom Processor D510" which uses 64 bit architecture.