It sounds like you were offered an Adjournment in Contemplation of Dismissal (ACD), the case will not appear on an employer's background check and you can honestly answer 'no' to the question on the application. Good luck.
You got an ACD but it will show up during the 3 month period. Hire a criminal defense lawyer to try and get the case dismissed and sealed now. I do this often. It may depend on the charge and county where the case is.
The above answer, and any follow up comments or emails is for informational purposes only and not meant as legal advice.
Prior to the date your case is finally dismissed and sealed, it will show up on a check. You can try to have the case advanced and dismissed, which might be worth the money.