Hi!! I am needing to be in LA, just over night for a business meeting. I'm hoping to keep it near the airport LAX so I can fly in shuttle to hotel, meet at the hotel resturant (high end ish) and fly out bright and early the next morning. Any suggestions?

The Ritz Carlton, Marina del Rey.

I don't think the Ritz has a free shuttle, it's about 5 miles from LAX.

If you're willing to pay for a taxi there's also the Ayres Hotel on the Manhattan Beach border. The Matisse restaurant is quite good.
Slightly closer and probably more convenient parking and access for locals attending the meeting.

Four Points Sheraton, has shuttles, and if you're in a hurry and the hotel shuttle is late in coming, cross the street and step onto the Budget Rent-A-Car shuttle. Decent hotel, no big deal but good value I found.

The airport Westin, Hilton and Marriott are probably your best bets.

Try the Ayres Hotel or the Belamar in Manhattan Beach. Both have on-site restaurants

If you decide to stick it to your meeting partner and make them come to a Century Blvd hotel, at least find out if the restaurant will validate their parking. Some of those hotels charge $25/day to park.

The Belamar in Manhattan Beach is a good suggestion. My husband has meetings there, though I'm not sure about free shuttle to LAX.

The Hilton Garden Inn or Doubletree in El Segundo are very highly rated and have 24 hour free shuttle service. The restaurant is not high end, but there are some nice restaurants in town you could take a cab to.

The Ritz has a town car service for its guests. I know we could have taken it to Santa Monica from the Ritz hotel, so I'd think it would go to the airport, too. I could be wrong, though.

The OP didn't request a free shuttle, just a high end-ish hotel restaurant.