That's awesome. I think it would be great to just sit and play by myself. I love all kinds of music and think I have a decent ear but I know nothing at all about reading music or playing. I don't know the name of the guitar but it's a six string that belonged to my wife when she was younger. It's nothing expensive but it sounds pretty good.
Do you think it's better for a beginner to try learning on an electric or an acoustic?
The best guitar / set up is the one that you will play every day. So it really depends on you. I started playing when I was 6 with an old acoustic. My grandparents were musicians and always had guitars laying around. Back then, one had to shell out some serious dough to get a good-playing guitar. That's not the case now days.
The most important thing is how the guitar fits you and the action (distance from fret to string). It's difficult enough to learn without fighting the guitar. You should be able to fret it without too much struggle. Sound is the next thing. I have a few classical guitars (nylon string) and work on classical technique quite a bit. They all have their own sound. My dad wanted to learn to play so he bought one on e bay. I picked it up and just couldn't put it down--and that's really what you want to find. It didn't fret as easy as the other guitars, but the sound more than made up for it. But I was already used to playing. You should probably focus more on the guitar that is most comfortable.
Another thing to consider is that the acoustic is more portable and easier to pick up spontaneously. You can have one sitting next to your couch and just pick it up whenever. And electric guitar you have to fool with plugging it in, buying an amp, probably an effects pedal, then all the noise that goes with it. You have to develop your picking hand technique to control the noise, etc.. Plus if you want to take it with you then you have to fool with hauling all that shyt around.
The best case scenario is to have both. Even better, a steel string acoustic, a nylon string acoustic, and an electric. Classical technique on a nylon string guitar will work wonders with your fretting hand. Plus you are less likely to develop nerve damage or muscle strains due to poor technique. You don't necessarily have to take up the classical discipline; you can just use a pick (plectrum) rather than picking with your fingers. But the thicker nylon strings are great for developing certain techniques.
If you're looking to buy a guitar, Alvarez makes some great playing guitars without breaking the bank. I played an Alvarez AD 30 the other day and it played better than any of my more expensive guitars--sounded good too!. You can pick one up for about $250. I would just make a trip to some music stores and play as many as you can. Learn a couple of chords on the guitar you have if it's not too much struggle. If you're comfortable with the guitar you have then great, but if not you can find some nice playing guitars at a reasonable price.