Looks like it would work to me. You’d connect your RX pin on arduino to TX on the BT module, vice versa for TX arduino --> RX BT. CTS/RTS pins wouldn’t be needed. Power that up, pair it with your pc, and you should be able to use arduino built in Serial.print() functions and such to communicate now.
Seems like a fair price, keep in mind it is a class 2 module, not sure what range you are looking for.