Almost.
Assuming you don't want to do a Zero Hour to ATPL intergrated course you need the following.
1) PPL
2) ATPL ground Exams (14 exams)
3) Multi Rating
4) CPL
5) Instrument Rating
6) MCC (Multi Crew)
On completion of the above you will have a frozen ATPL. It's frozen because you need 1500 hour multi crew time before you can have an ATPL.
The type rating is something that is company specific. You would normally hope that a company will pay for your type rating, however you may end up having to pay for yourself. It's not usually a good idea to just go off and get a type rating as you are then relying on a company that flies that type. A lot of companies also have a preference as to where their pilots go for a type rating.