Hello 🙂
Your old Pentium uses Intel's old NetBurst architecture. It had pretty high clock speeds, using lots of power and generating lots of heat for a disproportionate amount of performance.
The new Intel chips use their Core architecture. A 2GHz Core 2 Duo will be faster than your old Pentium. Intel have basically declared that clock speeds are pretty meaningless now, especially when comparing the performance of their new and old chips.
Your Core 2 Duo isn't 4GHz, however. It's not quite that simple. But yes, you do have the processing power of two 2GHz cores, especially useful when you have more than one application open. Some programs can even use both cores at the same time, speeding them up further.
Keep saving!