Hi and welcome, Susan
It looks like a Schefflera to me, too. These plants grow into 20ft. trees here in FL and they grow in the full sun. So other than a bigger pot so it doesn't fall over all the time, I'd say you need to make sure it gets as much light as you can manage.
Are the windows behind it in the picture the light source you mention? They're pretty small and kind of low ie the plant won't get light from above so it will get leggy and lean a lot. How far south are you? Will you be able to put the plant outside in the summer? If you can, you might want to prune it in the spring so it can get shorter and bushier for the winter months when it's indoors.