Q: We have 2 iphone 5s sharing the same apple ID.  When browsing Safari on one phone it automatically sends a link to that page to the other phone.  How do we turn this off please?

@apup80

It sounds that you are running the same iCloud account with two phones.  I recommend you to create a different iCloud account and you should be all set.

Creating an iCloud account: Frequently Asked Questions - Apple Support

iCloud: Remove your device from Find My iPhone

Here is information regarding continuity. Connect your iPhone, iPad, iPod touch, and Mac using Continuity - Apple Support

Get two accounts.

You can use family sharing to share iTunes apps and media, so there is no need any longer to share the iCloud ID.

An added benefit is that you each get 5GB of space for mail and backup.

You're welcome.