You sent cash? or a money order? If you used a credit card, dispute the charge. Other than that, report it to the police.
The amount is not high enough to really benefit much from suing, unless you know enough about the person you sent the money to that you can serve them papers and sue in small claims court.
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If you can locate then. Prove the elements of a breach of contract, if you had one, or fraud, or convince a court of same. Your effort would be better spent notifying your state's attorney generals office and chalking this one up to a lesson learned. BTW, you can't even get shoes delivered the very next morning, how you could have believed a dog would be delivered to your house beats me.
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