Hi,
There is real time scan called as 'Auto protect scan'. Auto-Protect continuously inspects files and email data as they are written to or read from a computer. Auto-Protect automatically neutralizes or eliminates detected viruses and security risks. Mac clients and Linux clients support Auto-Protect for the file system only.
See http://www.symantec.com/docs/HOWTO80944
There are different types of scan:
Active scan:
Scans common loadpoints ( like startup files, few registry entries,C:\Windows, Temp and User Profile ) and memory. Its is a scan which normally takes 2-5 minutes
Full Scan:
Scans the entire computer for viruses and security risks, such as adware and spyware. Use this scan to look in the boot sector, in the programs that are loaded into memory, and in all files and folders. A password may be required to scan network drives.
Custom Scan:
Scan only the files and directories that you specify.
Real time scanning logs i.e. detail information about scan file is not possible, if SEP started capturing this info it will become a huge file. Log shows which scan had triggered and if it found any suspicious file it will share the info.
Though it does not capture each and every scan file entry you can view information while it's performing scan.
However, if you still feel detail report should be available.
Post it under idea section: https://www.symantec.com/connect/security/ideas