I stopped playing regularly over a month ago, but I still use the game occasionally as a testing ground for mods I can't play it for more than an hour anymore without getting bored. I've done everything there is to do, so I'm waiting for Dawnguard.
I usually take a break from Skyrim if I start getting bored with it and then start playing it again in a week or two. But if you play it nonstop and that is the only game you are playing then yes you will get bored of it.
If onlydawnguard would get here quicker that way nobody would be bored and i'd be able to play as a demon spawn and [censored] puny little village people... Oh the joy's!