Nursing license

I have been reading some posts regarding getting a degree in nursing including going for a Masters in nursing but I have not seen anyone talk much about getting a license and working. Has anyone gotten a license in NY and been sponsored by a hospital? NY asks about immigration status on the form. Is this even possible now with the backlog of visas and retrogression? If you graduated, what are you doing now with your degree? Sorry for the endless amount of questions.

Thanks in advance for the help.