Extremely grateful for any advice (Luxembourg)

Hi everybody, I'm a 22yr old guy from Australia looking to move to Luxembourg.

I was wondering if anyone knew of any public study spaces, such as libraries or anything similar, in or around Luxembourg city?

Also, I'm in my final year of university studying business and supply chain management and would love to find an internship in one of these areas or anything related. I'm also an experienced waiter and bartender, so I'd be happy to find work in a job like that also. I speak native English and am learning French. If anyone could give me any advice on getting work, even if it's off the books, it would be greatly appreciated.

Cheers