My current T of three years wrote almost constantly during the first six months or so. I didn't find it distracting - just a little odd opposed to what I was used to. At one point, three months in, I asked my T, "How long does it take to evaluate me? You have my test results." Perhaps, your new T is taking copious notes now as she wants a good foundation of what your issues are and how you relate to her - or how you talk. My T now only takes notes when there's new material. Otherwise, she's very present and attentive. IMO, good Ts need to evaluate their clients and typically take notes to look back on later if there are changes or big issues not talked about early.
I wouldn't worry too much about it, but you aren't me. If it truly bothers you, perhaps you can ask your T to explain why she's taking so many notes? (BTW, my T never did answer my question about how long it takes to evaluate a client!!)