If the agency wants you to fill out a W-4 that suggests you will be a W-2 employee, as opposed to an independent contractor. You need to get them to clarify that for you. What exactly do you mean by "contract worker?" If you will be a W-2 employee then, yes, you will have multiple jobs for which tax must be withheld. If you work as an independent contractor, you will be self-employed as far as the IRS is concerned and will have to pay self-employment tax for Social Security and Medicare as well as ordinary income tax.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
