Then United States of America is built on the ruins of many Native American cultures. In return some of these Native American tribes receive land and other subsidies for their trouble. Some Americans say this is not fair since they shouldn't have to pay for Indians to live on welfare. Others say it is the least the United States can do for the people it has stolen land from. What do you say?
The term "reservation" itself should clue you into what's erroneous in the way your question is phrased from a
legal point of view. From a might-is-right, we-can-do-whatever-we-want perspective, there may be an ethical question eorth discussing.
There is no single generalization one can make on Native Americans. Some were as territorial/sovereignty-oriented as Europe. Some were pragmatic socialists -- all land was common to the nation, which undertook to protect and feed its members.
But in broad terms, the majority of the nations between the Alleghenies and the Sierras regarded the land much as we do the sea: nobody "owns" it, save for the area right around one'[s home lands, but different nations have the right to exploit different resources in different areas. As the US expanded westward, we entered into treaties (sometimes after fights) with Native nations whereby our settlers could homestead and farm the land they had formerly been accustomed to hunt on, conditional on leaving them their homes (or in some cases resettling them in new areas). Those lands are their sovereign territory, just as Luxembourg is what is left of the old Grand Duchy after Germany, France, and Belgium helped themselves to the rest of it.
Now Congress early in the 20th century saw fit to extend American citizenship to the Native Americans living either on or off reservations within US national boundaries. As such, the poor among them are entitled to EBT 'food stamp' benefits, etc. (Many of the Native nations provide for their own; some, e.g., Pine Ridge, are too impoverished to.) And there might be a question of whether this is right, though I think they're equally entitled with other mericqans now, whatever 'entitled' may mean here.
But it's not a case of what we gave them, except in the sense that we didn't use overwhelming power to commit genocide or take all their land -- the reservations are what they kept when they gave us the rest.