Looking for simple Russian love songs on guitar

Hello everyone! I recently met a Russian girl here in America that is helping me learn some Russian and I wanted to surprise her by playing a song in Russian on guitar for her. I was wondering if anyone knew a good song that isn't too over the top and could provide lyrics and a translation please. I would really appreciate it. Thanks so much!

I found this song and I like it but am not sure of the meaning. http://www.youtube.com/watch?v=-YbXy7fNwP4