Gan Yavne is a regional council just south of Rishon LeZion. Yavne is one of the cities right next to it on the road from Tel-Aviv to Ashdod.
It's not the best place to go to, cause it's a small town. Within driving range (Hell, everything is within driving range, so let's say within two hours of driving time), you've got Tel-Aviv and Rishon to the north as the nearest metropolitan centers, south's pointing at Ashdod as a port city and Ashqelon as a growing city, to the east there's Jerusalem and the dead sea, a bit to the south there's the Ramon crater.
If you want to go to 2.5-3 hours driving time, there's Eilat to the south and Haifa to the north.