Answer
The bonding that takes place is a nonpolar covalent bond.
Same - covalent
Different - polar vs non polar.
Work Step by Step
Since fluorine is diatomic in its gaseous state, and there is no net dipole moment as they must have the same electronegativity, the bond must be nonpolar covalent. In contrast, $HF_{(g)}$ is still covalently bonded, but since Hydrogen has a much lower electronegativity, the fluorine tugs more on the electrons, creating a polar covalent bond.
