I just got Trados 7 (although it hasn't been delivered to me yet...long story!). Anyway, I've never ever used any CAT tools before.
Start with the interactive tutorials, which are installed with the software.
Will I be able to create a TM from the translations I've already done.
Yes - using WinAlign.
For example, will I be able to copy and paste.
Not sure what you mean...?