Just like debugging, monitoring depends on type of the system you're building. Generally speaking, your stats are either being fetched by the monitoring system of your choice ('pull') or are pushed into it ('push').
The following is a short list of examples of the libraries and plugins that have some sort of Scala wrappers or integration, even if it is only valid for specific system (such as Play).
This list is not complete by any means, but it includes examples of what is available today.