This question structure is a common mistake, made by combining two common questions: "How does it look?" and "What does it look like?"
"Look like" needs a noun object, while "look" needs an adjective or adverb after it. "What" is the interrogative pronoun (question word) for nouns, and "how" is the interrogative pronoun for certain adjectives and adverbs, including "good".
We can figure this out for ourselves by looking at the statement structure of both correct questions, the comparing it to this bad question.
a) The cloud looks beautiful. -> b) The cloud looks how. -> c) How does the cloud look __ x __?
In a), "beautiful" is an adjective that describes the cloud. In b), how replaces "beautiful". In c), we make it a question by moving "how" to the front of the sentence, leaving nothing (the "x") where "beautiful" used to be. The underlying grammar and parts of speech have not changed.
a) The cloud looks like a boat. -> b) The cloud looks like what. -> c) What does the cloud look like __ x __?
In a), "a boat" is a noun being compared with the cloud. In b), "what" is the interrogative pronoun that replaces "a boat". In c), "what" moves to the front of the sentence and we make it into a question, leaving nothing where "a boat" used to be. Again, the grammar is consistent throughout.
Now, if we try to do the same thing with "How does it look like?", it's impossible, because after "look like" we need a noun object, but we're using the pronoun "how", which cannot replace a noun.
a) The cloud looks like a boat/good??? -> b) The cloud looks like How/what?? -> c) How does the cloud look like?
So the question is impossible to understand because we cannot tell whether it refers to an adjective/adverb or a noun.