In a competitive market (I can go to any grocery store I like) the prices are not set to what people have to pay but on what the other stores are selling for.
The offerings may depend on that - more caviar if folks have more spendable income. But that's called Standard of Living, and if it goes up well that's the whole purpose of UBI
It was more of "people have more money" -> "are able to pay more" -> "prices will raise to what market full of slightly richer people can bear". But I'm not arguing that, just asking about it. I don't have enough economic understanding to make predictions here.
Competition determines prices. Folks can spend money on lots of things. People can share an apartment if they are too expensive, which would drive the price down, and spend their money on other things. More money in circulation means more lending thus more development, which increases housing supply. And on and on.