"Owe" means you have to give something (obligation). For example, if you buy a shirt, you have to pay for it, so you "owe" the money until you give it to the cashier. If you lend your friend money, she has to pay it back, so she "owes" you money. You could say she is in debt. "Figures" refers to the exact numbers and calculations. "Look right" means "appear correct."

"What do I owe you for this coffee?" Is one way of asking how much the coffee costs. "Do these figures look right to you?" This a question that could be asked if two people are looking at some statistics or information and want to know if the other person agrees with them.

What do I owe you for this coffee? = How much does this coffee cost? (So you're being asked about the cost of that coffee). Do these figures look right to you? = In your opinion, are these figures OK?