I get asked about this a lot. People see that I'm verified on Facebook and Twitter, and want help getting the blue check mark for their brand presence as well. While getting verified is something that I've facilitated for businesses and personal brands on Facebook, Instagram, and Twitter, you don't need assistance with it.
The good news is that you can request verification yourself on all three platforms. The bad news is that the platforms are strict about who is eligible and, while they do spell out their criteria, it still doesn't seem to be consistent as far as what profiles they approve and what profiles they don't.
Here are the direct links for each platform to go through the verification process. Be sure to read through the information and the requirements sections too:
Twitter (read the "Important" section at the top)