If you use a non-fermentable sweeteners, then yes, you will also need to add your priming sugar as normal then pasteurize when it gets carbonated.
Since you are pasteurizing, you could also use fermentable sugars as well. Concentrate, Brown Sugar, Honey, Simple Syrup, Dextrose, etc. (It doesn't have to be non-fermenting unless you just like the taste of splenda etc)
As for what Yooper said, she is correct. 1.035 is pretty sweet in my opinion as well. It was recently discussed that Angry Orchard's Final Gravity is about the same, so I assume "sweet" is all up to individual taste buds.