The answer to this depends on a couple of things:
1. How are you communicating with the device? GPIB? Serial? USB? TCP/IP?
2. Is the instrument designed to automatically send some indication across the bus when it's been triggered? (If you're not sure, you should check the documentation for the device)
If you are using a standard protocol, and the device has some means of sending out a notification that it has been triggered, then you can set up your system in LabVIEW to wait on that notification, whether it be waiting for bytes at the serial port (if serial) or waiting for a service request from your device (GPIB), for example.
Logan S.