Assuming you have a PC with Windows, you might as well download and install Windows Movie Maker.
Why? It’s going to give you more options than a lot of the “simple video editors.”
Most video editors – whether they’re Apple of Windows format OR both --, function similarly and once you learn one program, the skills transfer to another. It’s a huge myth that Final Cut Pro and Adobe Premiere are vastly different. Yes, FCP has more options but the basics are the same as Adobe Premiere. I’ve used both and once I figured out how to import footage into Final Cut Pro it wasn’t much different from Premiere.
While you’re at it, look for a video converter, too. Most of the video online is in FLV (Flash video) format for websites… This despite declarations from Apple that Flash was “dead.” (Well, developers ARE moving to a different HTML format that’s supposedly easier to use than Flash but in the meantime websites are still using Flash. Go figure!) Older examples and alternate sites generally have videos in WMV or AVI format. Depending on the video editor, you will have to convert online video to a format that’s easier for a video editor to work with. The same video converter can also be used to convert most camcorder footage/capture footage into a more workable format. Not every editor out there works well with MP4 or MPEG-2 footage… The newest editors WILL cut to the closest frame but older editors often don’t.
MPEG Streamclip is a freeware video footage converter and is fairly good and simple to use. Should be compatible through at least Windows Vista if they haven’t patched it yet for Windows 7.