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We develop a theoretical framework for analyzing transport phenomena in QCD matter using the two-flavor PNJL model. Within the relaxation-time approximation and Kubo formalism, we compute the shear and bulk viscosities and reveal their intrinsic connection to chiral symmetry restoration and conformal symmetry breaking. The η/s minimum tracks the vanishing quark condensate, while the ζ/s peak correlates with the trace anomaly and sound velocity suppression. These transport extrema reflect the structure of the effective potential and energy-momentum tensor correlators, providing a microscopic realization of critical dynamics in strongly interacting matter.