Some states will allow you to get a permit to drive while under a suspended license for certain purposes, such as going to school or work.
But it sounds like from what you have said that you were caught driving with a suspended license, so you might have blown that possibility. Can't say for sure. States have different rules.
To eventually get a license again requires serving the suspension and applying for reinstatement. That process will again vary by state and in some cases by whatever caused the suspension. You'll have to check with your DMV.
If you need something for identification, many states have a separate ID card not usable for driving.