Ok, here is what I could find out about it:
Name: Pentium Dual Core T2060
Specs: 1.6Ghz/533Mhz fsb/1MB L2 Cache.
Execute Disable Bit
SpeedStep
Socket: M
It seems to be slightly less powerful than a Core 2 Duo, but more powerful than a Celeron chip - although it runs hotter than either of these. At first glance it seems like a T2050, but that has a 2MB cache - although some people speculate that the 2060 was a run of chips with one faulty L2 cache*. The problem with this theory is that Intel clearly lists the T2060 as a different family of processor, although it is based on the other's architecture, and the fact that the chips preform differently when running. It is also noteworthy that Intel does make a 2MB L2 cache version of the chip, although this is fairly rare.
*This screenshot shows a T2060 that has been identified as a T2050 with only 1MB of L2 Cache.