No. The gate is not electrified. It would be decidedly difficult to get in and out of the pen without getting shocked if it were.
I bought from Kencove. I got three 164' x 42" high green wire netting rolls and enough extra posts to double the number the fence comes with.
If you put the gate...
I made gates from ripped pressure treated 2x4s covered in 1/2" hardware cloth mounted to a treated fence post set so and 52" is above ground. They swing relatively tight to the ground.
If you put the gate at the end of the netting you don't need to jump the fence under the gate with a lead out...