1st photo is when I got it from University of Arkansas this past march
Other pics are of it right now, I have blackberries? Thing has exploded with growth! Can someone explain to me what's happening?

U of A has been releasing primocane fruiting blackberries, 3 or 4 so far.They fruit on floricanes too.

Drew is correct. These are primocane blackberries. The best way to train them is to cut them down to the ground each year and restart the cycle. That way  you will get bigger berries each year and less problems with disease.

That is interesting.  Cutting them to the ground each year sounds like a lot less trouble than removing all the canes that have fruited.

Jsavkov,

how did you get them directly from the U of A? Did you just ask? :O

I've got two of the varieties, bought from an on-line nursery.  They grow well.  The roots have survived Z6 winter, though there is damage to the prior year's canes.  That matters only if you are trying to get two crops, which I was.  I'm not fussy about flavor but they seem decent.  They are also not horribly invasive, like some berries.  Roots seem to throw up daughter plants if they encounter an obstacle like a rock, but the number is manageable.

My main problem so far has been lateness -- ripening a fall crop.  The first variety I planted, Prime Jim, hasn't ripened much of its crop before weather gets cold.  So I'm trying Prime Ark Freedom, hoping that it'll be earlier.