I remember (watching the show in reruns as a kid) the robot as the B-9 Environmental Control Robot. On his packaging (a box or a metal cabinet, I think) you can see the name G.U.N.T.E.R., which is an acronym for General Utility Non-Theorizing Environmental Robot.
It should be your mantra whenever you apply products to the lawn. This doesn't have to be a lengthy ban. The Dog Owner's Guide suggests keeping pets off treated grass for 24 hours, as nitrogen can burn the pads of a dog's foot. The guide also recommends keeping pets indoors during application to prevent an airborne inhalation or skin contact.
Your pup will need to potty about 5-20 minutes after eating, sleeping or playing. When you take your puppy outside to potty, to to the same spot each time and don't play. You want your puppy to focus on one thing only during puppy potty training -- going in the right area. As soon as your puppy potties, praise enthusiastically. Give your puppy a small food treat to reinforce the positive behavior.