Hi there, @BBS.
I agree with Walker21 that adding yourself as the second user isn't possible as the multi-user network is only for users with the same company license. To elaborate, the term hosting is utilized to refer to the scenario where a computer that holds a company file permits other computers to gain access to the file.
What we can do to assist your client's bookkeeping is to ask for an accountant's copy. This way, they can continue their work on their company file while you can review their books and manage this weekly, including payroll. To begin, please assess your client's readiness to proceed to Step 1: Set up QuickBooks, and Step 2: Create an Accountant's Copy in this article: Create an Accountant's Copy of your company file in QuickBooks Desktop. On the same reference, you, as the accountant, will have to download the copy to make changes and import it.
That's it! Whenever you have queries concerning managing a client's file, please know that we’re open 24/7 to help you. You can always drop by and hit the Reply button to start posting them here. Take care!