Future underground electrical supply
Definitely run the largest conduit you can obtain across the driveway. Possibly two or three or four parallel runs -- you don't know if you will eventually want to use one for low-voltage cabling, another to pass a water pipe through, etc. PVC conduit holds up very well underground and is relatively cheap even in large diameters.

You can put conduit underneath the driveway and terminate it 10' away on both sides of it. Plug the ends with putty or something else removable, and you can reduce the conduit size to whatever size you actually need in the future when it comes time to do the installation.

For such a short length of conduit, I wouldn't worry about a pull cable. You can easily run a fish tape 15-30 ft.