you go to the shrine and talk to the blonde girl and she will tell you she needs you to feed all the stray animals around, after you find and feed all them (gotta buy cat and dog food) then report back too her and finish her quest. Then go buy either cat or dog food and feed a pet you want for a couple days then after like the 3 or 4th time the MC will say he kinda likes this pet and it'll ask if you want to adopt it but it takes away your noon choice of activity to adopt it not to feed it then go back to the shrine and talk to the glasses girl and she will give you pet esentuals