You can use this modified stored procedure.

Reference: Send email from database using Stored Procedure in SQL Server

GO
/****** Object:  StoredProcedure [dbo].[sp_send_cdosysmail]    Script Date: 02/12/2009 21:20:16 ******/
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO


CREATE PROCEDURE [dbo].[sp_send_mail]
		@from varchar(500) ,
		@to varchar(500) ,
		@subject varchar(500),
		@body varchar(4000) ,
		@bodytype varchar(10),
		@cc varchar(500),
		@bcc varchar(500),
		@output_mesg varchar(10) output,
		@output_desc varchar(1000) output
AS
DECLARE @imsg int
DECLARE @hr int
DECLARE @source varchar(255)
DECLARE @description varchar(500)

EXEC @hr = sp_oacreate 'cdo.message', @imsg out

--SendUsing Specifies Whether to send using port (2) or using pickup directory (1)
EXEC @hr = sp_oasetproperty @imsg,
'configuration.fields("http://schemas.microsoft.com/cdo/configuration/sendusing").value','2'

--SMTP Server
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/smtpserver").value', 
  'smtp.gmail.com' 

--UserName
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/sendusername").value', 
  'sender@gmail.com' 

--Password
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/sendpassword").value', 
  'xxxxxx' 

--UseSSL
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/smtpusessl").value', 
  'True' 

--PORT 
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/smtpserverport").value', 
  '465' 

--Requires Aunthentication None(0) / Basic(1)
EXEC @hr = sp_oasetproperty @imsg, 
  'configuration.fields("http://schemas.microsoft.com/cdo/configuration/smtpauthenticate").value', 
  '1' 

EXEC @hr = sp_oamethod @imsg, 'configuration.fields.update', null
EXEC @hr = sp_oasetproperty @imsg, 'to', @to
EXEC @hr = sp_oasetproperty @imsg, 'from', @from
EXEC @hr = sp_oasetproperty @imsg, 'subject', @subject
EXEC @hr = sp_OASetProperty @imsg, 'BCC',@bcc
EXEC @hr = sp_OASetProperty @imsg, 'CC', @cc
-- if you are using html e-mail, use 'htmlbody' instead of 'textbody'.

EXEC @hr = sp_oasetproperty @imsg, @bodytype, @body
EXEC @hr = sp_oamethod @imsg, 'send', null

SET @output_mesg = 'Success'

-- sample error handling.
IF @hr <>0 
	SELECT @hr
	BEGIN
		EXEC @hr = sp_oageterrorinfo null, @source out, @description out
		IF @hr = 0
		BEGIN
			--set @output_desc = ' source: ' + @source
			set @output_desc =  @description
		END
	ELSE
	BEGIN
		SET @output_desc = ' sp_oageterrorinfo failed'
	END
	IF not @output_desc is NULL
			SET @output_mesg = 'Error'
END
EXEC @hr = sp_oadestroy @imsg