I get a lot of well-meaning advice on my dating life. I accepted a while back that I kind of invite it, even if not directly, simply by sharing my stories. I know it comes from a place of love and concern, so I try not to let it bother me. Still - sometimes, it does.
There are a few things that friends can do to avoid further hurting a heart broken friend, and show support at the same time.
Don't say.... platitudes and clichés. "It'll happen when you least expect it," or, "It just wasn't meant to be," sound helpful and positive. The thing is, your friend likely already knows all this nonsense. It's all true, of course, but is also little comfort to a person still trying to find her footing. When she's ready, she'll find it on Pinterest anyway, so just hold-off on the Paul Coehlo quotes.
Don't offer... advice on how to be happy. Your friend has not forgotten everything she's ever learned. She hasn't quit her job, stopped eating, or started avoiding people. She knows how to take care of herself, and she'll be happy when she's done being sad. Offering that advice really sounds like you're discounting her feelings and trying to rush her back to happy. Stop.*
Don't ask... how she's doing - unless you mean it. You know the answer - she's sad. If you're sick of hearing it, that's fair. But don't pretend you want to know, while secretly hoping she tells you about work or family. If you don't honestly want to listen to the answer, just don't ask the question.
What can you do? If she wants to talk, listen. It will mean so much that you care. Instead of advising her to "go out and live" or "find stuff to look forward to" - create those things. Make plans. Invite her out. You're right - distractions and plans will help.
Mostly, just don't forget how this feels. Chances are, you've been where she is. She'll be fine soon - just be her friend when she's ready.
*Of course, if your friend has stopped eating, working, or seems to be hiding from life more than usual - say something. She could be in a bad place. A little sad is normal - depressed is something else.