What type of taxes will I have living in NY and working in NJ? Do I get taxed twice or what? Why do I have to pay taxes in NY if I'm in NJ? Im confused about this whole thing is it worth living in NY and working in NJ?

You pay NY taxes because you work there.

NJ gives you a full credit for the NY taxes paid. Since NY tax rates are higher than NJ, that effectively erases your NJ tax liability.