Ethereum is being built to store and run code in the EVM. Ether main use is only to pay for gas so that any user of the network can execute the code. Although in Bitcoin there is no point in writing code other than encode conditions upon which monetary transfers can be done, this isn't Etheruem's main goal.
An example of a non-monetary use case is - A concert ticket issuer could issue tickets on the Ethereum network. When users want to resell, they need not rely on a re-seller and instead can do a direct exchange on a decentralized exchange. They will pay a few cents worth of Ether as fees to run code that triggers this exchange to get the guarantee that the tickets are not counterfeit. After a quick confirmation the ownership of the tickets is updated on the blockchain. The exchange of money between these users can be in USD itself directly without any conversions to Ether.
It is non-monetary consumer use cases like these that drives the Ethereum team to bring the transaction confirmation times to the current 15 seconds and even lower in the near future.