J.S.
This sounds perfectly typical based on my experience with my daughter. Before about three weeks she only slept an hour or two at a time and had to eat every hour or two as well. After about three weeks she started going to eat every two hours and then at about 7 weeks she slept for like 4-5 hrs at night, so it does get better. In fact, if yours is already sleeping such that she only needs 2 feedings at night I think you are doing great.
As she got closer to three months she started having a bit of a routine where she would repeat cycles of eating every 2-2.5 hrs during the day and sleeping every 2-2.5 hrs during the day, waking up once or twice during the night for feeding. I feel like I was pretty lucky. The book I found most helpful was the baby whisperer solves all your problems by Tracy Hogg. While she didn't adhere to a fixed schedule she did have the repeating cycles for sure. Also, I did the "dreamfeed recommended in the book - after she did start to go to bed a little earlier (9 or 10), I would go in and nurse her while she was still sleeping between 11-12 before I went to bed without waking her up and put her back in her crib. I really felt like it helped get her through the night.
I almost always nursed her to sleep for both naps and her nighttime sleep when she was that young and only months later worked on being sure to put her down drowsy to let herself fall asleep on her own. When she was closer to a year. It was fine.
Congrats, it sounds like you are doing a great job.