Put the warm water, yeast, and sugar in a large bowl and let sit for about 5 minutes to feed the yeast. It will look foamy.
Add the flour, salt, and olive oil and stir. If the dough seems too dry, add a little more water. Stir the dough until it comes together into a ball.
Cover the bowl with plastic wrap and let it sit for about 45 minutes in a warm place so the dough can rise.
Preheat oven to 450 degrees F.
Get two pizza pans ready. You could also use a large sheet pan.
When the dough has at least doubled in size, put a little oil on your hands and take the dough and stretch it to fit on your pizza pans. Brush a little more olive oil over the top of the crust.
Bake the crusts alone for about 5 minutes. Remove from oven, and top with marinara sauce, vegan cheese shreds, and the vegetables.
Bake at 450 degrees F for about 15-18 minutes, until the crust is golden brown on the edges and the cheese melts.
Let cool for a few minutes before slicing.