Step 1: Concept
In a Galvanic cell, the positive electrode is the cathode, where reduction occurs.
Step 2: Meaning
Reduction is the gain of electrons. The electrode with the higher reduction potential acts as the cathode.
Step 3: Analysis
\( \text{E}^\circ_{\text{Zn}} = -0.76 \text{ V} \) and \( \text{E}^\circ_{\text{H}} = 0.00 \text{ V} \). Since $0.00 > -0.76$, the Hydrogen electrode is the cathode (positive electrode).
Step 4: Conclusion
The reduction of $\text{H}^+$ ions to $\text{H}_2$ gas occurs at the positive electrode.
Final Answer: (D)