@Seedfork Larry, glad you asked because I didn't count branches or buds. I was just so excited to see it finally bloom. So I just now went and counted, took a couple of pics but may need a bit of an education on branch count.
I counted 5 or six branches.
I counted 42 buds total on the scape. You can see a bunch of the smaller buds in this photo. I counted the smaller ones I was sure were buds, others that were too small so I was unsure yet, I didn't count.
You can also see the inside of the lower growth on the scape. Looks like another scape, or is it branch, coming up. Here's a better pic of the inside of that lower growth.
It's in a pot so I moved it around in front of the black grill cover to try and get better photos.