You can send lots of requests to your server, using tools such as :
The first one, ab, will only allow you to send lots of a requests to a single URL -- which is great to benchmark a single script / page ; but doesn't reflect the real pattern of a user browsing your website (CSS/JS/images don't get loaded, for example).
The second one, siege, will allow you to send requests to a list of URLs, specified in a text file -- building that list of URLs properly (there is a proxy for that) will get you some not too bad tests.
And the third one, JMeter, will allow you to create more complex scenarios.
That one is more complex, and you'll need a bit of time to use it -- but that's probably what will get you the best results.