You will not notice any difference under this use case scenario between sata2 and sata3. But one thing is for sure, you will definitely notice the difference between this ssd and its mechanical counterpart.
Maybe when moving extremely large files, but as other forum members have stated, you are bottle necked by the platform itself when doing serious computing on that notebook. The ssd's sequential max speed is your last concern.
The only thing that you have to do is to make sure that AHCI is enabled so that is OS can pass trim commands to the ssd. After that you're good to go. Enjoy your purchase/updrade!