an sti??

I'm freaking out like normal. I thought I had a yeast infection but went in and got checked, turns out I had BV. She explained to me it's not always from sex, and I hadn't had sex in a week and a half anyway, it started at the end of my period. I've had unprotected sex once with my boyfriend, other than that we always use a condom and we've never had any other partners. Once I finish this medication should I have to worry about giving it to him if we don't use a condom? Is this an sti?