给以 means 'to give' or 'to grant' something abstract (support, help, attention, an opportunity) to someone. It is a formal verb that requires a two-syllable object — you cannot use it with concrete nouns like 'a book' (use 给 instead). The recipient is introduced with a prepositional phrase (给 + person) before the verb, or the verb can take a direct object without specifying the recipient. It is common in written and official Chinese.