Is this a mistake when meditating?

I am a beginner in meditation practice (have been meditating for about a week now). Sometimes when I meditate the following occurs: once I am able to keep focus on my breath for some time (some minutes perhaps), I notice that sometimes I slowly begin to go into this state where I am aware that I am breathing but I am not aware of being aware of my breath (if that makes sense). It is as if my mind slows down and calms down, and I begin to be aware of not only my breath but of many other things such as my body, my environment, etc. Is this ok? Or is this some kind of "daydreaming" that should be noted and then I should bring my attention back to only focus on the breath.