If you have no experience, then think of how you prepare for things. Did you participate in projects in college? How did you carry through with it? What did you do for logistic, manpower, equipment, handling fall-outs, etc... If they don't care about experience and wanting to groom you, then they want to see what, and how your thought process copes with a project. It's no different than preparing for anything else.
At my work, I have just finished a project and I was the project manager. Meaning I was the SME (subject matter expert) and I had to work with people from different departments to piece together the entire project. I found out who did what, kept track of it on a spreadsheet, filled out a lot of forms and requests, followed up with them on every details (and a lot of sweet talking) and making sure that it's done on time. Then, chase people around to get exceptions and governance forms approved; then filled out purchase orders; then work with vendors to make sure contracts are signed (because our Vendor Management people are almost as worthy as our Project Managers)... Then, I rolled up my sleeves, installed the freaking infrastructure, then configure it (with help from various department). Then, I put it all together, push it through a final checking process with even more people involved.
I left out a lot of details, but that's the gist of it.
After all is good, then I tell my Account Manager (whose job title happens to be Project Manager, who didn't help me with crap) that the project is completed. And I go back to do what I'm doing on the infrastructure that I just installed because I know it's done the right way. Damn I hate people with Project Manager titles.