The beauty of the consultancy that there's no one typical day. Projects change, people you deal with come and go away, you need to be flexible to respond to this changes but it makes job extremely interesting. You learns every day from your co-workers, take some qualifications at the same time but the most valuable experience you get via communication with people.
Hardest thing about it that normally you need to adopt very quickly but later you get used to this. Consultancy requires being highly professional and to be an expert at least in one particular field. For a graduate it could be challenging at first but after some time when it all is gathered in one picture it's really great because you see not just one particular business but rather many options how ut could be organized and managed.