“That's going to attract a lot of new customers.”
You're talking about a recent announcement that Starbucks is going to offer free Internet access to all customers. You think it's a good idea for them, and now you're talking to your husband and explaining why.
That's going to attract a lot of new customers.
To "attract customers" means to bring more customers to your store or website.
The word "attract" means to pull things closer. The base meaning of the word is to pull closer with a magnet or some other force. You can also use "attract" to talk about love or romance between people:
You're obviously attracted to her.
But when talking about companies, "attract" means to bring more customers:
What can I do to attract new readers to my site?