Whether lessons will work for you probably also depends a little on who you are. I consider myself basically self-taught. In the very beginning, I took classical lessons for about six months. I totally hated them, because the guy who was teaching me would never teach me anything I actually wanted to play, never put any emphasis on improvisation, and told me everything I was doing was wrong -- this kind of jaded me against lessons early on, and I never took any more. Later on when I wanted to learn things like scales, I just figured them out. I think the trouble, though, was really just that they were the wrong kind of lessons for me, and I could have benefited from a different teacher or a different setting. Now I can play pretty well, but I'll be the first to admit I'm missing some really basic skills you would find in a trained professional. I can't read music, and I don't really know much about the theory, so sometimes it is hard to communicate with trained musicians. I also wouldn't really feel qualified to give lessons of any kind, because that whole approach never worked for me. My point here is that if you don't like this teacher, don't give up on lessons; just try another teacher.
I'll second what everybody else is saying here, in that what taught me how to play the guitar was many, many hours playing it. And it's not like it was some backbreaking work; I couldn't put the thing down. The biggest advantage I had was that I learned how to play around the same time as a good friend of mine, so we were pretty constantly around the same skill level, and we could bounce ideas off one another, and teach each other stuff we were picking up. He knew a few chords and taught them to me to start me off. We learned about leads and song structure by listening to music we liked (I particularly recall working forever on Tesla's Five Man Acoustical Jam) and figuring it out by ear. I had an easier time telling what the notes were from acoustic recordings. Even then, we probably weren't playing exactly the same thing as on the tape, note for note, finger for finger, but it was close enough that the two didn't clash, and it taught us what chord progressions sounded right, and how songs were structured, and how leads were supposed to sound. Less like mimicry, more like paraphrase. I'm sure you could also learn this way, and it does lead to interesting places. My point in this is you'll play more if you're having a good time with it, and it made a big difference to me to have a study buddy.
Good luck, and welcome to the neighborhood.
