You can use the “Browse in Bridge” function in Photoshop, located under the ‘File’ drop down menu.
In Bridge, select an image and check the metadata window for details on the “colour mode” and “colour profile”. If there is no data for the colour profile, you may either be shooting in RAW format or your camera is not tagging the file with the profile used. (eg. Camera tags file as sRGB when in sRGB mode but leaves the file untagged in Adobe 1998 mode.)
When shooting in RAW the profile is embedded when converting the file to TIF or JPG.
A profile must be assigned before working on the file. If a profile has already been assigned you can convert the profile in Photoshop. Converting will preserve the colours’ appearance whereas assigning a new profile preserves the colour values, which could change the colour in your images.