Maybe you can consider joining an audit company such as the big 4. As you move around different companies doing your audit, you can see how business processes are structured and how things get done in HR, finance, operations, legal, IT departments, etc. This helps you to get a good overview of things. But to specialize in a particular area, you will need to do hands on. Consultant in Singapore is an overrated term. In overseas, all the consultants are packed with >10 years of experience.. : D
All the best!