Yes, you are reading right. Unemployment Benefits, including the $600 additional weekly payment are beginning to roll out. However, as is stated very clearly in this video, the Montana Department of Labor & Industry are working diligently to add the self-employed and independent contractors to the system. Once that has been completed, self-employed and ICs will begin receiving their benefits, including the $600, which in many cases will be retroactive.
We understand that waiting for these funds to hit is stressful - know you are not alone in this. There are other programs that might help you with electric or other utilities. Find that information here.