Sophie, who plays Lindsey Roscoe in the soap, returned to her childhood village of Takeley to say her vows.
"The most amazing day of my life, I married my love and my best friend," she wrote alongside images of the day on her Twitter account.
The 31-year-old actress and her new husband will reportedly wait until the end of August to jet off on honeymoon.
Graeme is also an actor, comedian and writer who starred in BBC2's The Ginge, The Geordie &The Geek.
Among those in attendance on the couple's big day were Corrie actress Paula Lane (Kylie Platt), Eastenders star Gillian Taylforth (Kathy Beale) and Hollyoaks' Tamara Wall (Grace Black), Charlie Clapham (Freddie Roscoe), Alex Fletcher (Diane O'Connor), Jennifer Metcalfe (Mercedes McQueen), Nikki Sanderson (Maxine Minniver) and Jessica Ellis (Tegan Lomax).