And actually males are usually the ones who get no symptoms of most std's. It is women who get symptoms of most std's.
Bv can be transmitted from you to a girl, but it is very uncommon. And it isn't an std, it is a bacterial infection. But, let's say you had sex with a girl who had bv and then had sex with another girl, you could give it to that girl, but it could wash right off of you. Since males usually (almost always) do not carry bacterial vaginosis.
But, it is a very common infection and your girlfriend could have just gotten from various other things (which is most probable).
And some std's can be cured with antibiotics, but not most and certainly not all. Actually, only a couple can be cured. But it is always best to get them cured asap so complications do not occur.