Nope, doesn't work that way. They told you you needed insurance and an SR22 filing, which is only a form they send to the state letting them know you have insurance and promising to notify them should you drop coverage. So then you dropped coverage, they were notified, and as promised, they suspended your license.
Now that your license IS suspended, it's not automatic. First you will have to get an insurance policy in place, and ask your agent to do the SR22 filing. Once that is filed and you have proof it has been by means of the copy your agent will give you, you take that, and your proof of insurance card, and you go to the DMV and apply to have the suspension lifted. Chances are there will be a fine to pay before they do so and you'll find it would have been cheaper to keep your policy in force. Especially when you add in the costs of starting a new policy since you won't be able to answer yes when they ask about having current insurance.