There is equipment for color/gamma syncing display, but such things cost hundreds and sometimes thousands of dollars.
Unless your laptop and monitor are made by the same company, and the same manufacturer, and the same year, and the same display technology, there
are going to be differences.
My suggestion is to be patient, and tweak while you are working. Over a span of a couple of weeks, I set my laptop and monitor as close as possible. Tweak it during the day, then at night-time tweak it some more. Eventually your need to tweak will stop, and you'll be good to go.
Also, having different looking displays can serve as a basic sanity check that your art will be readable on other people's displays.