Do I have to pay inheritance tax on what I receive?

This depends on where you live and how much she left you - some states have inheritance taxes and some don't, and there's also the federal estate tax threshold which is pretty high these days. your cousin handling the estate should be filing the necessary paperwork and generally speaking the estate itself pays any taxes owed before distributing stuff to heirs, so you likely wont owe anything personally, but definitely ask your cousin to clarify what the tax situation looks like or have them consult an estate attorney becuase you dont want any suprises down the road. i learned the hard way years ago when my uncle died that communication early saves headaches later.

Inheritance tax is actually pretty state-specific and honestly kind of confusing - most states don't have an inheritance tax at all, but a few do (like Iowa, Kentucky, Maryland, and a couple others), and it matters whether you're inheriting from a direct relative like a grandmother. The federal estate tax is usually only a concern if the total estate is really huge, so odds are you won't owe anything federal-wise. Your cousin handling the estate should know what applies in your state and can tell you for sure, but generally the estate itself handles any taxes owed before distributing what's left to heirs, so you'd just get whatever remains after those are paid out.