To directly answer your question, no, the meter will not "match" your camera however, both your camera and the light meter use the same f/stop settings. Meaning that if your lens only opens up to f/5.6 and the meter suggests something bigger, you'll need to adjust the settings.
Think of it as a calculator that samples the light value and converts it into an exposure setting. Typically, for a light meter, you have to tell it what ISO you are shooting at and at what shutter speed your camera will be set to. The meter will then report the appropriate aperture for a proper exposure. From there you will need to modify that setting if the reported aperture is not available on your lens. This is usually done by modifying the camera's ISO or the light's power and/or distance to subject.
Remember with flash your shutter speed affects ambient light and not your flash output. Shutter speed will need to be within your camera's sync speed (typically 1/160-1/200-ish). Most modern meters allow you to toggle the settings up or down in order to determine a setting that does match what is available on your lens. As Alveric mentioned above, you should read the manual to understand the various settings available on your specific meter.
Hope this helps.