I assume you are in the Southwest, because the Yankees are going to wonder how anyone can build a house with and on-grade paver floor.
It is a little unusual to see cinder block in this situation. We usually see formed concrete stemwalls. Cinder block can be a very acceptable stemwall on a concrete footer. In the best of both worlds, you have a Southwestern floor and an New England stemwall.
If you retain an inspection for the purchase, the foundation will be reviewed in detail. Significant defects would include large cracks with displacement shifting. If you can find a place to look at the sill plate, you should see anchors set into the foundation block. Typical construction includes steel in the footer and ties to the block. Something else you can do is cover the cinder block with stucco and match it up architecturally with the rest of the house.
A professional inspection would give you considerable peace of mind for relatively little money.