I see "Schwinn Sierra" in the decals your photo. I'd guess its somewhere between 2000 and 2010 in age.
As long as it works, stops safely, isn't going to fail, then its a good bike to ride.
Yes, it would be classed as a woman's frame, but there's no physical reason a male couldn't ride it as well. It may have a female-specific saddle or might be slightly angled up at the front, but that's easy to change.
There's suspension, but its in the seatpost, and possibly some in the handlebar stem (or its an adjustable stem) The saddle is also sprung.
The black bar is a carrying adaptor for a car rack, replicating the higher top-tube of a men's bike. Its not part of the bike and probably shouldn't be there for riding because its clamped to part of the handlebars that should turn freely.
Schwinn marketted very similar bikes under the models "Quest" and "Mirada" (that mirada is older than the one in your question)
The picture is not great so can't really comment on the bike's condition.
A $10 bike that does its job is totally worth it. By the looks, you get lights too, which would cost that by themselves.