When a new pope is elected, he definitely needs to focus on modernizing the Church. The Church has stayed the same for thousands of years, but the world around it has been changing. The Church must adapt to accommodate its people.
The future of the Church must require modernizing- such as granting rights for same sex-couples, women in the Church, and various other things.
With this new pope, women should be allowed to become priests. This would open up the priesthood to anyone, which would allow for the growth of people looking to be a part of this particular vocation.
If I could change anything about the Church, it would be to allow same sex marriage. A person is still a person, no matter their orientation. If God loves all people, than He does not discriminate against orientation.
There definitely should be room for democracy in the Church. God loves all his people, and says that everyone is equal and should be certain rights, so a democracy would be necessary.
The Holy Spirit works through the hierarchy as a spiritual guide to make the correct decisions.