Higgins says that if he works with her her can improve her English to the point that she'd pass for a duchess. Her "kerbstone" English would keep her in the gutter.
THE NOTE TAKER. You see this creature with her kerbstone English: the English that will keep her in the gutter to the end of her days. Well, sir, in three months I could pass that girl off as a duchess at an ambassador's garden party. I could even get her a place as lady's maid or shop assistant, which requires better English. That's the sort of thing I do for commercial millionaires. And on the profits of it I do genuine scientific work in phonetics, and a little as a poet on Miltonic lines.