The name of this kind of poem may be Pear Blossom Body, because it is a homonym of the poet Zhao Lihua, who has some works in a relatively alternative form, which triggered a controversy, and was also jokingly referred to by some netizens as "mouthfuls of poems".
The Pear Blossom style is characterized by the use of colloquial, plain, and even childish language to express the poet's emotions and thoughts, with no fixed meter or rhyme scheme, and no deep allegory or metaphor, just a direct description of what he or she has seen, heard and felt.
The representative works of Pear Blossom Style include Zhao Lihua's "I Love You", "I Don't Love You", "I Want You", "I Don't Want You", etc. Among them, the poem "I Love You" has lines similar to the example you provided:
I love you
You're just like a cat
Always lying on my desk
Leaking out the longing for food from both your eyes
And then you'd clink your plate.