How can the government discover I own BTC, let's say I'm from Venezuela where crypto is banned, what they can do to discover and arrest me?
Bitcoin transactions are anonymous. As long as you don't reveal your identity, no one know you are a bitcoin holder.
For this purpose you have to buy bitcoin peer to peer from a person you trust. Never use exchanges that force you to verify your identity.
Fpbp. If you buy it anonymously then it will remain anonymous unless you end up connecting it with your address or name for a shipment or something.