Even if a laptop processor happens to be upgradable, it's usually not all that practical to do so. A processor within the same generation that is clocked higher, or has more cores, will draw more power and put out more heat, which may result in performance throttling due the laptop's cooling system not being able to keep up.
In the case of processors compatible with that laptop, it looks like they would all be 2-core, 4-thread models, like what you have. The i7-2620M would be the fastest of those, primarily due to it being clocked higher, but that would only amount to about 20% more performance, again, assuming it can manage to hit those higher clock rates with your laptop's cooling system...
https://cpu.userbenchmark.com/Compare/Intel-Core-i7-2620M-vs-Intel-Core-i5-2410M/m643vs2769
Rather than a processor upgrade, you would likely see more performance benefits out of swapping the system's slow, 5400 RPM laptop drive for a SATA SSD. An SSD should perform much faster at tasks that involve drive access, reducing the time it takes to load Windows, launch applications and so on. You would need to either copy your existing drive's contents to the new drive, or reinstall Windows and all your applications and data though.