Federal gift tax

I made a gift to my daughter of $150,000 this year so she could purchase a home.  It is my understanding that she has no tax consequences as the recipient and I should have no tax consequences as this is less than the millions of dollars allowed prior to having to pay taxes  (this is my first gift).   I believe I have to submit a form 709 to the IRS also.   Will this be done when I fill out my taxes or do I need to send it in separately?   If separately do I need to report it on my tax return?    Let me know.  Thanks for your help.