Hi, Peter Griffin here! As you can see in this beautifully crafted illustration, the artist is suggestively likening the act of enjoying a popsicle on a hot summer day to the character (Lim) performing oral sex.
This suggestive drawing is perfectly complimented by a semi-realistic rendition of the tropics behind Lim. The background presents realistic lighting from suns appearing from the corner obscuring some the larger plants and trees, to the reflections in the lake or river Lim is walking past.
Onto Lim herself, she contrasts the realistic drop from her bright and colorful appearance, giving the drawing a whimsical touch. If I were to judge a book by it's cover, I would think she is a determined, hard working woman who keeps her health in check by how she maintains her physique, but she is not so hard on herself, as we see she does engage in at least some leisure, like eating a double-sided popsicle on a tropical afternoon!
This has been Peter Griffin speaking, now back to the episode no one's watching.