2GHz or faster processor with SSE2 support; dual-core processor required for HDV or AVCHD editing and Blu-ray or AVCHD export
^under system requirements
That i5 is a fairly strong cpu and chances are it will probably work fine. It might not be as fast as an i7 in terms of the actual editing, but I would guess it will run smoothly. I have an older premiere version and it runs fine, I don't see any reason why this one will not.