* If you have a key: The 2005 Corvette should have a standard keyhole located on the driver's side door handle. Use your key to unlock the door.
* If you only have a key fob (no physical key): This is more problematic. You'll likely need a locksmith. The key fob's battery being dead won't necessarily prevent the physical key from working (if it's integrated into the fob), but if the car's battery is completely dead, the electronic systems might be completely unresponsive, even to a physical key. A locksmith has specialized tools to open the car without causing damage.
Important Note: Attempting to force or break into your Corvette will likely cause damage and could be illegal. Always try the key first. If that doesn't work, call a locksmith.