Profiles define how users access objects and data, and what they can do within the application. When you create users, you assign a profile to each one.

Before creating the new profile, customize how profiles are viewed.

1. From Setup enter User Management Settings in the Quick Find box, and select User Management Settings.
2. Set Enhanced Profile User Interface to Disabled (if it’s not already).

Now create an create profile and set its object permissions.

1. From  Setup enter Profiles in the Quick Find box, and select Profiles.
2. From the list of profiles, find Standard User (It is easy to clone and customize the profile as you need, But you can create your own profile).
3. Click Clone.
4. Enter Profile Name
5. Click Save.
6. While still on the new profile page, then click Edit.
7. Scroll down to Object Permissions and change the Basic Access for each object if you need to do.

From profile you can setup the followings;

• Custom App Settings
• Connected App Access
• Tab Settings
• Administrative Permissions
• General User Permissions
• Standard Object Permissions
• Custom Object Permissions
• Desktop Integration Clients
• Session Settings
• Password Policies

This training blog is very useful to learn about profile setup in salesforce.