The correct sentence would actually be "I listen to, go with, read the works of, and learn from experts." Or if you actually mean to say "I read experts," where "experts" implicitly represents the works of experts, then your second sentence is correct.
In a situation like this, each item in your list should make sense with the common elements of the sentence. For instance, in your first sentence, you are essentially saying "I listen from experts, I go from experts, I read from experts, and I learn from experts." The first three obviously don't make sense, so this sentence doesn't work. In your second sentence, you're saying "I listen to experts, I go with experts, I read experts, and I learn from experts."