Step 1: Concept
Enzymes act as biological catalysts by lowering the energy barrier of a reaction.
Step 2: Meaning
Activation energy ($E_a$) is the minimum energy required to reach the unstable transition state.
Step 3: Analysis
Statement I correctly defines $E_a$ as the energy gap between substrate and transition state. Statement II is false because enzymes decrease (lower) the activation energy to speed up reactions, they do not increase it.
Step 4: Conclusion
Thus, I is true and II is false.
Final Answer: (C)