Somewhat newbie DSLR user here. I'm just wondering if this looks like dust on my sensor too you?
I took this picture in manual, kit lens, aperture:f36, shutter 3.2s. I shook the camera as I took the photo. ( Thats what I read! )
If this is dust how bad is it?
Yes, it is dust on your sensor. Test again at an aperture that you're more likely to shoot with. At f/36 (your example), most sensors will show some dust - I wouldn't clean my sensor unless dust was apparent at f/16.