DOM support should be driven more by the transceiver capabilities than the switch it's installed on. See this list for DOM compatibility of all Cisco transceivers.
For the switch you're asking about, please see this section of the 2960S configuration guide. According to it, the command "show interfaces transceiver detail" is supported in IOS 15.0(2) on a 2960S. (as it was on much earlier versions - back at least as far as 12.2(25) according to the older guides).
As noted in my first paragraph, you will need a DOM-capable transceiver. There are a few compatible with the 2960S per the transceiver compatibility matrix (here) - most notably the GLC-SX-MMD. Note the more common GLC-SX-MM is NOT DOM-capable.