You'll spend the first couple of weeks in the classroom preparing for the air law and radio exams. You will be adequately coached to pass. After that you'll do your 767 ground school (assuming you're not type rated) and there's an exam for that. There are various minor exams throughout the rest of training, as there would be with any other airline e.g. performance. So long as you do a reasonable amount of studying you'll have no problems. During the simulator training you'll do your type rating test and then the ATPL test. After that they'll give you 10 days off while they sort out your licence with JCAB and then you start your route training/IOE/line training/OJT (delete as required).
Your entire training will take around 6-7 months. During this time the company will pay for your family to travel to Japan once and they provide 7(?) nights of hotel accommodation for them. After that, assuming you're married, your wife will get another free ticket to come to Japan but no hotel the second time round (unless it's changed since I did it). AJX will provide an apartment while you're in Tokyo doing your training and then accommodate you in the MyStays Hotel in Narita during OJT. During this time it's entirely up to you if your family visits or stays. So long as they don't exceed the days limit on the tourist visa they can stay with you. I would suggest it's probably not a good idea in the very beginning as you'll need to put in a bit of work and it's likely to be better without distractions. After that, however, it's up to you.