The laboratory in the game is still closed.
Currently you can check the genetics of your horses on their profiles. However once the companies are finished, you need to go to the laboratory to check their genes.
Once the companies are finished, you can start your own laboratory as a scientist if you have completed the course "Moleculair Sciences".
Your company will be based in the same continent as your estate and you will earn money when you are online and if players go to your company to test their horse's genes.