if i copy/paste (do it manually) the last folder of the backup, will i have all the latest files and folder structure
The answer to that is yes. Each date/timestamped folder effectively contains a complete copy of the entire system at that date and time (minus any exclusions, of course). You can use Finder to copy files and folders from the backup structure (but I wouldn't manually delete or move any files in there).
Say you have a file that has been on your boot drive ever since installation, and hasn't ever changed.
To Finder, apps, and most Terminal commands it will
look like there's another copy of that file in
every date/timestamped folder (snapshot)! It looks like the file is (wastefully) stored multiple times.
In reality, the file data is stored in the filesystem only once, and "hard links" to that file are placed in the snapshot directory of every backup that included that exact file. So disk space is needed just for one copy of that file (hard links take only a tiny amount of disk space). When backups are deleted one by one, the hard links are deleted, but the file data itself is not deleted
until the very last hard link is deleted. This is a feature of the filesystem (HFS+). TM is able to do this trick with directories (folders), as well.
What are the differences between those folders? Are they the same plus the extra files that have been added?
So, yes.
Hope that helps.