But like Diana, Greer says Markle will soon feel oppressed and stifled and even bored by the royal family.
Top celebrity beautician Lesley Reynolds was asked if Markle will likely do her own makeup when she ties the knot with Prince Harry, and she gave a negative response.
The "Walking Away" hitmaker said: "Listen, if I got invited to witness one of the most biggest talking points of modern history when it comes to the royal family, it would be unbelievable to be there".
While most people are enthralled by the romance between the Royal couple and looking forward to the wedding on May 19, Ms Greer has already predicted their separation. "I think it would be more modern of them not to want [children]", she told 60 Minutes interviewer Tara Brown.
Taliban attacks Afghan district compound; at least 18 killed
Shaker said that a number of officials were killed after a Public Order Police vehicle stepped on a roadside mine. The Taliban used heavy weapons, he said.
They've sent the invitations and announced they want charity donations, not gifts, now Prince Harry and Meghan Markle have chosen a wedding photographer. "I think the pressure to escape from the firm is crushing", she added.
Past year a temporary garden featuring white roses, was opened at Kensington Palace, Diana's former London home, marking the 20 anniversary of her death.
'Having taken Prince Harry and Ms Markle's engagement photos, it brings me such joy to be able to witness again, the next chapter in this wonderful love story'. I think England is so excited. "If they're not it's going to be totally unbearable", said Greer.
Germaine Greer has previously called Diana "needy" and "too dependent on the love of men".