This page of the guide to Dragon Ball Z: Kakarot has a walkthrough for the Foggy Future side quest.
Time frame: From Attack of the Saiyans - Episode 4: Piccolo's Training Regimen! to Episode 4: Gohan's Gumption
Reward: 141 EXP, D Medal, Awesome Book for Grown-Ups, Fancy Urn
Where to start: Central Plains Area, as Gohan.
Meet three characters in the southern part of the Central Plains Area. Talk to Baba to receive a mission. You will be asked to destroy robots
The objective is to defeat two robots. Enemies are very weak - you shouldn't have problems with them.
Return to the woman to complete the task.