An adverb is commonly defined as a word that is used to modify a verb, an adjective, or another adverb. Furthermore, it could be said that adverbs provide a description of how, where, when, manner and to what extent something is done.
Bearing in mind the fact that in the sentence provided:<em> "I am very interested in reading the works of Ray Bradbury" </em>interested constitute an adjective and the word "very" is modifying such adjective, it could be said that the adverb this particular sentence is very.