Webbed

The Spider-bot is located in the Dune Beetle area (the leftmost area of the map). The exact location of where to find it is here:
 

 

After you swim through the water and are on the left side of the area, shoot a web up to a branch above the water on the right.
 

 

To reach the area above, you need to fling yourself from a web, enter the area above and quickly fire another web onto the wall to catch yourself (this may take a few tries to get). 
 

 

When you finally do reach enter the area with the Spider-Bot, you'll first speak to an Ant that will tell you about a landslide that happened, causing the Spider-bot to get buried under some rocks and rubble. As with just about every quest in every game ever, he'll ask you to help save the Spider-bot. Using your web bridges (), you'll need to move a few of the rocks/boulders out of the way. When there's a clear path for the Spider-bot, use those same bridges to bridge it closer to the Ant. Once it's up on the hill where the Ant is standing, the Spider-bot will come to life and ready up for some more, hopefully, less painful work. The Ant will thank you for your assistance and reward you with a sticker (required for Collector ) as well as this trophy.

If you don't get this on your initial playthrough, you can get it after you've completed the story and are back home with your boyfriend (you'll be put into a free roam session of the game).