You must either collect and fill a physical application form in and return it to the store you want to work at, or you can fill in an online application. After a few days to two weeks, you'll get a call from the manager of the store, and will be asked questions such as the following:
1) "The Domino's television advert is 'greatness from Domino's (or whatever the advert and slogan are these days)', what do you think this says about Domino's?"
2) "Why do you think customers continually return to Domino's?"
3) "What are three words that your friends would use to describe you?"
4) "How many hours are you looking to work per week?"
It isn't really that difficult to gain employment at Domino's, so you don't have to answer perfectly. However, I would expect sensible answers. My answer to number 1, for example, was 'I don't really know about other people, but for me it reminds me that I haven't had a Domino's in a while and that I probably should'. My answer to number 2 was, 'It's delicious'. Basically, be sensible and amusing at the same time, and you'll more than likely get the job.
Once the interview is over, if you are successful, you will get told there and then what happens next. For example, the manager might say I'll let you know when I want you to come in for a trial shift. Alternatively, they may tell you when they want you to come in for a trial shift there and then. A trial shift is simply a short shift (2 hours) where you shadow one member of staff in order to learn your job role. If you have applied for a driving position, that will mean learning how to pack orders and deliver the pizza (and also what to say when customers answer the door, how to take payment etc). If you have applied to answer the phones ,then you'll be shown how to answer the phone appropriately, how to use the interface to place an order, and payments. You'll also be shown how to serve over the counter in the store. If you're applying to be a pizza maker, then you will be sent away to learn topping codes and then be asked to come in for a trial shift. This will involve being shown how to make pizzas, prepare correct portion sizes and taking food items out of the oven and packing them. However, at some point, all job roles are expected to take orders/answer the phones/take food out of the oven and package them/close the store. This is part of each job role, and is fully expected.
At the end of your trial shift you'll be asked if you're okay with the job and if you are then you can start whenever they want you to start or they may give you a choice. If you dislike the job then simply say that you don't think it is for you and you can walk away. Ta da, interview process over.