Anyone knows if this module can also write RFID tags or just read ?
Most probably it can both but that's wild guessing as you bought a device without documentation. My guess is that the MFRC522's UART interface is directly connected to the pin header so you should be able to use most of the chip's functionality over it.
Any sample code/library that can work with it ?
There is a library but I didn't use it myself (I only used the MFRC522 over the SPI interface yet).