Home tab setting in salesforce for a profile

Home tab settings are 'Default On' (read-only) under 'Tab Settings' on profile. Follow the below steps to restore the Home tab to your profile

In Lightning Experience UI:

1. Click on Setup | Users | User Management Settings |

   a) Disable Enhanced Profile User Interface. b) Click on Save.

In Classic UI:

1. Click on Setup | Manage Users | User Management Settings |

   a) Disable Enhanced Profile User Interface. b) Click on Save.

2. Enable Overwrite users personal tab customization

   a) Go to Setup | Manage Users | Profiles b) Click on Edit on affected Profile c) Go to Tab Settings d) Check the box for Overwrite Users Personal tab Customization c) Click on Save.

Check more details here

Thanks