Does em client download the emails or merely shwos the mails in the email server?

When configured with POP3, eM Client uses the local computer as the message store, so messages and embedded content will be downloaded and removed from the server.

When configured with IMAP (default), eM Client uses the server as the message store, and only keeps a synced copy of the message headers on the local computer. Additionally eM Client can be configured to download the message body including embedded content for offline use.