Depending on when your home was started and when the county assessed the value, your house may have been assessed for raw land. Usually a home is assessed for both the value of the land and the improvements or structures. Most production builders anticipate this and set aside enough money for property taxes based on the value with the structure. You should have received this money from the builder as a credit to you on your HUD-1 on line 515. If that is the case, then yes, the home builder did pay for the portion that they owned the home. You should have paid the remaining portion from your escrow account.
Please review your HUD-1 statement and check there.
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