The names and the ownership type on the front page decide what happens if one of you dies or you split.
Two people can own a home as joint tenants, where the survivor takes the whole property automatically, or as tenants in common in shares, where each share passes under a will. Friends buying together, parents going on the title to help, and family trusts each need different paperwork.
This is a decision for before the agreement is signed. Changing the buyer afterwards needs a nomination, and the bank may have to re-approve the loan.
A free 15-minute call with a property lawyer who only works with first home buyers.