Remove a built-in app from your Home screen

On your iOS device, touch and hold the app lightly until it jiggles. If the app doesn't jiggle, make sure that you're not pressing too hard.
Tap Remove on the app, then tap Remove.
Press the Home button to finish.
If you have an Apple Watch, removing an app from your iPhone also removes that app from your Apple Watch. 

How to remove weather and stocks

Restore a built-in app that you removed
On your iOS device, go to the App Store.
Search for the app. Make sure that you use the exact name of the app. Find the correct name of built-in apps.
Tap to restore the app.
Wait for the app to restore, then open it from your Home screen.
If you have an Apple Watch, restoring an app to your iPhone also restores that app to your Apple Watch.

What happens when you remove built-in apps from your Home screen
Removing built-in apps from your Home screen can affect other system functionalities. Here are some examples:

If you have an Apple Watch paired with your iPhone, removing an app from your iPhone Home screen also removes that app from your Apple Watch Home screen.
If you remove the Podcasts app from your Home screen, Podcasts won’t be available with CarPlay.
If you remove the Music app, you may be unable to play some audio content using Apple apps or third-party apps on some car stereos or stereo receivers.
If you remove the Stocks or Weather app from your Home screen, stocks and weather won’t be available elsewhere. For example, you won’t see stocks and weather information in Notification Center on your iPhone or as Complications or Glances on your Apple Watch.
If you remove the Calculator app, the calculator won’t appear in Control Center.