This simple agreement, written specifically for accountants and bookkeepers, will do just that. Use this agreement if you are hiring an independent contractor to perform accounting or bookkeeping services.An independent contractor agreement is a legal document between a contractor that performs a service for a client in exchange for payment. Outline your terms with an Independent Contractor Agreement. Print and download your customized contract for free. This section is the heart of the contract. Detail the bookkeeping services you'll provide to the client. 5. Invoices and Payment.