AT&T Inc. is bringing its ultrafast Internet service to Apple Inc.'s hometown and a few miles from Google Inc.'s doorstep.

The carrier plans to make Cupertino the first city in California to receive its up to one gigabit service U-verse fiber optic broadband service, and California would be the sixth state in its nationwide rollout. Service in Cupertino would begin in coming months, AT&T said.

AT&T...