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As long as they have heat while germinating, they should be ok with little light. However, once the seedlings have germinated, you will need to place them in an area with plenty of light. This article should help you with growing celery: https://www.gardeningknowhow.com/edible/vegetables/celery/tips-on-how-to-grow-celery.htm

This article should help you with that: https://www.gardeningknowhow.com/edible/vegetables/celery/tips-on-how-to-grow-celery.htm

The best thing you can do for celery is keep it watered well. They thrive in moist soil. As for fertilizer, compost mixed into the soil at the time of planting should suffice, but another during mid-season would hurt either. It grows well with most vegetables. These articles may help: https://www.gardeningknowhow.com/edible/vegetables/celery/tips-on-how-to-grow-celery.htm, https://www.gardeningknowhow.com/edible/vegetables/celery/bitter-tasting-celery-stalks.htm, https://www.gardeningknowhow.com/edible/vegetables/celery/learn-about-blanching-celery-in-the-garden.htm

The celery plant can't "grow" in the sense of metabolizing and increasing its cellular structure in a simple water bottle (celery can be grown in a hydroponic set up, however,) but it's phloem continues to function for a period of time after it has been cut from the root structure, thus it is able to take up liquid from the bottle, which is why the leaves can take on color if you put coloring in the water, as in the famous child's experiment. Here's another interesting experiment: https://www.gardeningknowhow.com/special/children/growing-celery-with-kids.htm

To cool of temperatures will cause the celery to bolt. Planting to early is a likely cause also.
It will not continue to grow once bolted.

https://www.gardeningknowhow.com/edible/vegetables/celery/harvesting-celery.htm

Does celery grow under ground? How do you know when it is ready to be eatten and picked? It has tops but I don’t know if it is growing under the dirt. Thanks