Communications through SecureDrop are both encrypted in transit, so messages cannot be easily intercepted and read while they are traversing the Internet and are also encrypted on the server so if any attacker manages to break into the server, they would not be able to read past messages.
In addition, the decryption key for SecureDrop submissions sits on an air-gapped computer (not connected to the Internet). This air-gapped computer is the only place SecureDrop submissions are decrypted and read so that they are much harder for an attacker to access.