It immediately makes me think of "glean", but I've never heard the word used in the way that 6sammie6 mentioned (I think I've mainly heard it in literature classes? in the sense of, "so, what did you glean from the text")...and if I got used to Glina as a name, that wouldn't be a strong association.
It's alright. I like
Galina more, partly just because I'm more familiar with that, and I expect other people I know would be, too.