Which information do you refer exactly? Is this information part of the ‘Extended CSD register’? this register can be read from eMMC v4.4 and up, though some of the fields have been defined in later versions. If supported, you can have some lifetime information from sysfs;
cat /sys/class/mmc_host/mmc0/mmc0\:0001/life_time 0x01 0x01
Or with a more user friendly tool installing mmc-utils:
mmc extcsd read /dev/mmcblk0
...
eMMC Life Time Estimation A [EXT_CSD_DEVICE_LIFE_TIME_EST_TYP_A]: 0x01
eMMC Life Time Estimation B [EXT_CSD_DEVICE_LIFE_TIME_EST_TYP_B]: 0x01
eMMC Pre EOL information [EXT_CSD_PRE_EOL_INFO]: 0x01
Values are part of the spec, but AFAIU EXT_CSD_DEVICE_LIFE_TIME_EST_TYP_A=0x01 indicates that device is about 10% to 20% of is lifetime (0x02 means 20% to 30%, etc).