Many event planners begin their careers working for country clubs, hotels, resorts and restaurants! I worked briefly as an "Executive Meeting Manager" for a global hotel chain. Nifty about that was the opportunity to move from property to property (Scottsdale, San Diego, Albuquerque...).
I recently came across the story of Jennifer Gilbert and find it pretty amazing. She started from the ground up, cold calling and word of mouth.
Check this out, you'll be inspired:
Best to you!