I'm not entirely sure of the legality of the ceremony, if the government recognizes it as a legal union between man and digital woman, but this is a thing that happened. We here at Doujins don't judge people for their preferences. You want to marry a waifu, go for it. Take pictures. He did, and they look nice. Take a look at the video below for some background.

Akihiko Kondo, the lucky man above, spent ¥2,000,000, or $17,715.50, on a traditional wedding. I'm sad to report that none of his relatives attended. 38 people did come however, including the otaku assemblyman Minoru Ogino, so that was nice. Mr. Kondo has said that dating 3D women was difficult, and one girlfriend even bullied him into a nervous breakdown, apparently about his otaku hobbies. However, his love for Miku remains strong.

I never cheated on her, I’ve always been in love with Miku-san…I’ve been thinking about her every day
Miku-san is the woman I love a lot and also the one who saved me
Two-dimensional characters can’t cheat, age or die…I’m not seeking these in real women. It’s impossible

He's even said that he's part of a minority, comparing love for 2D woman to being homosexual.

It’s simply not right, it’s as if you were trying to talk a gay man into dating a woman, or a lesbian into a relationship with a man.

I mean, maybe don't go that far. Hate crimes persist to this day. Sure, maybe argue that romantically loving a 2D girl should be a recognized orientation. 

Let's take a look at the wedding photos.

We here at Doujins wish the new couple a long and happy life.