I have seen people grilling pizzas on cooking shows for ages, but it seemed pretty intimidating... until I tried it. I've been making pizza at home for years, and always just used my oven and it would turn out okay. But not great. And then I grew some balls and decided to head out to the grill.
There are a ton of benefits to doing pizza this way. 1) You can get your grill way hotter than your oven, usually. Ovens don't like being 500- 600 degrees... but a grill will do just fine. 2) It cuts back on the cooking time by a lot, since you can cook it so much hotter. 3) You will not heat up your kitchen, which this summer especially, is a pretty big deal. Even if you make pizza in the winter, having your oven so high for so long makes you feel like you're in a sauna.4) Making your pizza yourself means that you can completely customize it to you... for example, I can't eat real cheese (I know, seriously, it's the worst.) so I can just make that substitution without some teenage kid on the other end of the telephone line messing it up. And kids love putting their own toppings on, too. They are way more excited to eat their veggies if they can add it to a pizza themselves. 5) (And most important) It gives your pizza a super amazing flavor that you just can't replicate. You get nice blackened grill marks, and the edges get a bit burnt and yummy... sounds weird, I suppose, for a pizza crust, but really is ideal. Trust me!!