Not normal, desktop lamps probably won't give much lumens or in a desirable spectrum for the plant, thus you see your plant stretching out like it is, constantly reaching for light. Autoflowers do not need 12/12 to flower, they will flower on 24 hours light, based on maturity of plant (time elapsed since seedling sprout), not by photoperiod (light schedule). Some describe them as skipping veg all together and entering flowering stage from seedling state, so light schedule is already not as important to entering flowering stage, as long as your giving it enough light during the day to continue healthy photosynthesis.
You might want to do a bit of reading, best option for you would probably be get some CFLS, but i dont know how realistic that plant is to save or produce any buds. I've never grown an auto myself yet, but she does look a bit lengthy, and leaves are browning/curling. What pH of water source, and after certain amount of time you'll need nutes or the plant will start using the nutrients stored, resulting in leaves yellowing, dieing off ect due to deficient uptake of nutrients from medium (soil ect).
Some water can be too high of a pH, like my tap water is 8.0 so I had to use vinegar to bring it to 6.3-6.5 range. I would say your pH isn't probably too horrible considering how it has lived 10 weeks, but I would think mainly she needs light, and needs food. Still on my first flowering stage here with photoperiod so my opinion is just subjective and slightly in-experienced compared to some of the other possible contributors to the thread.