Jacksmom, how long have you been riding? If I recall, you're rather new. If I haven't ridden much over the winter, my butt hurts at the beginning of the cycling season - it's like a bruised feeling right where my saddle goes, and yes, it hurts when I get off the bike and sit on the couch. I don't typically have that "pain" while I'm riding - it's almost like it goes numb from sitting on it, and once I get off the bike it's sore. Once I get used to riding again, and put in some miles, it's fine.
That's not to say your saddle isn't the cause of the problem itself - if your bike really fits, and you've been putting in some miles and it still hurts, you could try a new saddle. A new saddle will cause some discomfort, though, when you first get it as it's going to sit differently on your butt, so just like my first rides at the beginning of the season, you have to break it in and get used to it, too.
Since I have several different kinds of bikes, I'll also add that I'm most comfortable on my road bike saddle. It could be because this is the bike I ride the most, so my butt is used to it and I can go all day on that bike. Whereas, I'm only good for about 30 miles on my commuter which has a more upright position like your hybrid, and a wider seat. Next season, I will switch out my seat to something more road like.
There are lots of women who are only comfy on a women's specific saddle (Terry being a big favorite). I ride on the stock saddle that came on my Fuji, it's not women specific, and I'm fine on it. I do find that more heavily padded shorts make things worse for me (especially on a wider hybrid seat which is typically more padded to begin with) - more padding is not necessarily better either in your saddle or your shorts, as it can put MORE pressure on your body. My favorite and most comfortable shorts are my Sugoi triathlon shorts, as they have a very soft and thin chamois in them (and because I'm comfortable in my saddle). They are more expensive, though, so I only have one pair.
When it comes to shorts, I do think you get what you pay for - I started off with the cheap, lower end shorts from Performance that have a thicker, foam looking chamois that is sewn into them. I HATE the chamois material, it's too thick, and the stitching along the sides of the chamois rub (yes, they are so cheap the chamois isn't really incorporated into the shorts - it's sewn onto the crotch). I have a couple of pairs I got from Dick's that aren't bad, the chamois is soft and not too thick. My regular "go-to" shorts are my Shebeest knickers - they have a great chamois and a nice women's fit. I have two pair of these.
The "best" advice I can give would be to make one change at a time, either on your saddle or with shorts, and ride with it for several rides to get used to the new change before making another change. That way you know what's working and what isn't.