You need to list your laptop brand and model number, or motherboard model no. For laptops, it's a guessing game, and the heatsink will also need upgrading. I don't recommend it. Get a new system.
Older Celerons "could" be replaced by a similar speed c2d as they are more energy efficient and "shouldn't" tax cooling. Even a slower c2d will still kick a Celeron-M butt.