Your question needs to be substantially more specific.
Are you looking for hardware? Software? Both? What sort of service is this server providing (i.e. what kind of game)?
Latency is trivial to measure: send a packet to the server, measure the time to get a reply. Uptime is also trivial: run it. See how long it stays running.
Other metrics are more difficult to measure, such as performance scaling characteristics and behavior at large scale loads. There are techniques for that but probably significantly more advanced than you're looking for at this point.
Either way, more clarity on what you're trying to do would be helpful.
Excuse the late reply.
My question actually came from reading about benchmarking web servers (the software side). It seems for benchmarking web servers there is general set of things one is to look out for. But when it comes to gaming servers there doesn't seem to be a general benchmark which is set out. To me it seemed that the server worked for the game or didn't, not many results or comparisons against other gaming servers.
Luckily on my gaming server I decided to implement a HTTP port, I was already passing JSON messages on my standard port so it wasn't that difficult to extend. So I'll guess benchmark my server against Apache Bench or something similar will do. I just need some other web servers to compare my results against. It can't be no standard web server either, it has to be one which could be used for gaming as well. I tried searching online but maybe I'm using the wrong set of key words to search with.