You need to read your contract and ask the company what your work expectations are.
There are a number of things that aren't sitting quite right from reading your post. I would assume that you didn't sign a full-time employee contract, because then you'd be getting paid regardless of whether they had a project for you. But I'd also assume you weren't a project-based contract employee, because why would they have you sign a contract for something when there isn't a project yet? Even if you didn't have anything specific to do yet, you should at least know what you're working on - but your post makes it sound like you haven't been given a project. Likewise, why would they sign a full-time contract employee without having something for them to actually work on?
I mean, I would guess that you were effectively being hired as a freelancer or a part-time contractor and they don't yet have any work for you. And if that's the case, then you should absolutely go out and look for another contract - because if that's the case, even if the company had handed you some work, it's not going to be meant to take up your full time.
But that's all guesswork on my side - which is why my advice is: Read the contract and get the work expectations from the company. I have a feeling there was a miscommunication somewhere along the line on what they expect from you hour/project wise - and the fact that there's likely a language/culture/country barrier makes that even more likely.