The best way to get an answer to this is to Google the two words. You will see detailed definitions with sample sentences.

"Conducive" relates to making something likely or possible and is most often used in a phrases with "not conducive to". "Blocking Google is not conducive to learning." "Beneficial" relates to some action being good. "Allowing open access to information is beneficial to all students." Something can be conducive without being beneficial: "having power is conducive to imposing restrictions" Or things can be beneficial without being conducive: "a profit making activity is beneficial to the firm but it isn't conducive to economic equality."