The script below shows how to grant select permissions to a specific table.

I create a login called test.

--Creates a login

USE [master]

GO

CREATE LOGIN [Test] WITH PASSWORD='P@ssw0rd'

GO

I then create a user in the smarts database mapped to my test login

--Create Users in the database

USE [Smarts]

GO

CREATE USER [Test] FOR LOGIN [Test]

GO

I can then either grant select to that specific user on that specific table:

--Grants Select permissions to the table

use [Smarts]

GO

GRANT SELECT ON [dbo].[Customers] TO [Test]

GO

Or you could add the user to the DB_READER database role...This will give the user read access to all database tables!

--Alteratively you could add each user to the db_datareader

USE [Smarts]

GO

EXEC sp_addrolemember N'db_datareader', N'Test'

GO

If you want something in between you can create a user defined role:

--CREATE A User defined role

USE [Smarts]

GO

CREATE ROLE [UR_SELECT_ROLE]

GO

Then add your users to the role who need the same set of permissions:

--AND the test user to the role

USE [Smarts]

GO

EXEC sp_addrolemember N'UR_SELECT_ROLE', N'Test'

GO

The grant select permissions to that role:

--GRANT SELECT permissions on the table to the new role.

--Add the users to this role that need the same permissions set

use [Smarts]

GO

GRANT SELECT ON [dbo].[LAPTest] TO [UR_SELECT_ROLE]

GO

This can all be accomplished through the Management Studio GUI too