No. The Form 709 is totally separate from your personal income tax return. No tax data whatsoever from the form 709 is entered on a personal tax return, Form 1040.
IRS Form 709 instructions - https://www.irs.gov/pub/irs-pdf/i709.pdf
After the Form 709 is completed, signed and dated you mail the form to the following address:
Department of the Treasury
Internal Revenue Service Center
Kansas City, MO 64999
