That's going to be difficult to search for, because most background looping royalty free music that I've seen online is not organized as well as it ought to be. No one has yet to break it down into smaller and smaller similar groupings for simplicity's sake.
But this is basically just soft classic orchestral, probably a small 8-12 piece band, or less. Beyond that, I wouldn't expect you to have such an easy time finding something exactly like it, unless there are a lot of songs like this in the "classical" sections of royalty free music sites. And there might be.