Anyone serching the public records will not find a judgment of conviction against you if you complete the class successfully. If you are asked on a job application about convictions you can say none. If asked about arrests your truthful answer is yes. Your explanation is that case was dismissed.
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It appears as if you pled guilty and have been offered a diversion program. In the event you complete what has been asked of you by the court, your case will be dismissed. If you fail to adhere to the conditions over the next 6 months you will be sentenced for a petty theft and you will have a criminal conviction.
If you complete the program there will be no record of conviction but your arrest record will remain unless you got deferred entry of judgment. In some counties and for some offenses this means that no guilty plea is ever entered. In that case if you finish the program you will have no record of conviction and your arrest record will be erased. You need to check with the PD to see exactly what your situation is.