I just beat the game today, and I'm... unsure exactly how to answer this. Yes, there's actually a romance between your two characters, but it kind of just gets stated at the very end. Like, "Good job beating the game. BTW, you two love each other!"
I was a little confused, because despite being able to compliment one another in an extremely loving, devoted way, the characters don't talk to one another or acknowledge a romance. It feels a little disjointed.
I'm also unsure about any sort of romance depending on gender, but the way the game says you love each other could kind of be more like family or friends. Like absolute best friends who would be happy fusing their very being to one another for all time.
So... yep. If you're after interactive romance where you win someone over in the style of Mass Effect, it's not here. If you're hoping for the word LOVE to be used, however, you win!