Not at all.
First, God aside, we cannot attribute human characteristics to non-humans. Do you think it would be really boring to be a paramecium, or a cow? I see no reason one should. And I don't think the reason is that we are somehow superior to them. I don't find humans who crave excitement to be more intelligent, or even more interesting, than couch-potatoes with vivid imaginations. The former constantly imagines the latter is bored. Even from the standpoint we are God's image, we cannot attribute too many of our biological drives onto him. An image is not a duplicate, it has attributes of its medium that the original lacks.
But in the end, there is a good reason for humans to get bored, we have limited lifespans and cumulative memories. Filling up that memory with experiences that are not all related increases your likelihood of discovering things and moving us all forward. That would not apply to God.
In particular, from a traditional Roman Catholic point of view God causes time, and would not be subject to it, by the likes of Augustine, who translates 'eternal' as 'extra-temporal' he wouldn't even experience it. That would remove the possibility of boredom in a very complete way.
For certain other forms of Christianity, like C.S. Lewis' "Mere Christianity", at some point God had to be bored, but that can't be too common. The need to be everything good is why it was necessary for God to be incarnated. Otherwise, relative to humanity, he would have the "Mary" experience from "Mary's Room" (q.v. http://en.wikipedia.org/wiki/Knowledge_argument), but not the "real" experience. And to be truly omniscient, he must fully relate to all forms of experience. (The natural Gnostic extension is that this is why Satan is also necessary, and is also God. It is quite mandatory, from a pretty common human point of view, that God understand completely what it is like to be evil, if he is going to judge evil humans fairly.)
So in some sense, God was just dying to get bored, it must have been new and exciting for him!