Mine did. I was rather shocked I didnt' have to download it.
Mine always says plugged in and not charging, then once it hits 90% it starts charging back up again. It's designed to prevent wear on the battery and keep it lasting longer.
On a side note, how much of a performance boost did you see putting the SSD into the laptop? I'm considering doing that also, I just need someone to tell me it's worth the money 😛