The first few months I looked in the mirror on a daily basis to see if anything was happening.
Now, I'm an A cup and every once and a while I put on a snug fitting Tshirt and go to the store just to see if I get any reaction from people. I do get some looks, most of the time people just kind of stare at my chest. That basically confirms that they are growing and are becomming noticable.

Itching and some growing pains remind me that they're there. Sometimes I knock them against something or my dogs jump up and hit them with their paws, that causes some discomfort. OUCH!

Running down stairs, driving on bumpy roads or anything that causes that little bounce, also causes a little pain.
I would say Yes, I'm quite aware that I do have them. Maybe in time I might not notice them so much, but right now it's kind of exciting!