You trade Yes and No contracts priced from 1¢ to 99¢. Each contract pays $1 if the outcome happens and $0 if it doesn’t, so a 60¢ price implies roughly a 60% chance. You can hold until the game settles or sell earlier at whatever the next buyer will pay.
The platform makes money from trading fees, not from your losses. Your counterparty is another trader. On the biggest exchanges, that trader is often a professional market-making firm running automated pricing.