It shows the title off the offense (for example "theft") and the outcome (3 days in jail.) It does not provide the details of the offense. However, the company can pull up the file and if there is a sworn affidavit that was used to obtain the warrant, which provides details of the offense, they will have access to that. They do not have access to the offense report which has all of the details.
Your entire arrest and conviction record appears when an employer does a criminal background check. Each person's criminal background is different.
In Texas, under some circumstances, you may be able to have a criminal record expunged, which means that some parts of your record cleared up from criminal background checks.
Consider hiring a TX lawyer to assist you.
You might find my Legal Guide helpful " What Do I Tell My Lawyer"