Savannah is an old, port city but is not located on the ocean. It is actually located about 15 miles inland on the Savannah river. It has some facinating old cemetaries and buildings as well as good food. It’s easy to spend a day just walking the riverfront and downtown areas.
It’s an easy car ride to several of the GA coastal islands including Tybee (20 minute drive, it’s is where “Savannah Beach” is located), Wilmington and Skidaway (home of Wassaw National Wildlife refuge). About a 2 hour drive away is the Okeefenokee Swamp, Jekyll Island and Cumberland Island (very undeveloped, lots of wild horses, only a limited number of day trip permits are issued). Heading north, Hilton Head is 40 minutes away, Charleston, SC is a bit less than 2 hours.
Savannah is home to a HUGE St. Patrick’s Day celebration every year (they dye the river green).
I’m not a female, but, IMHO, Savannah is a great place to visit and a great jumping off point to visit several places but I’m not sure i could spend a week there.