I was in Paris on Bastille Day, 1998. France had just won the World Cup two days before so the entire nation was in a euphoric frenzy. I wanted to see the Bastille Day parade so I went to the Champs Elysee really early to get a good spot. Unfortunately I only saw half the parade. I positioned myself near the Arc de Triomphe where lots of tanks and other armored vehicles were lined up. I thought the military personnel would march past this spot to be followed by the tanks, jeeps.... This is not the case: the marchers line up towards the end of the parade route (ie around the presidential palace) and head down to the Place de la Concorde. I missed the best part of the parade. Even the French citizens around me were surprised that they did not see soldiers, marines, sailors, military academy cadets, firemen.... So if you are interested in seeing the parade do not believe the guide books that say it goes from Arc de Triomphe to Place de la Concorde; only part of it does.
You might want to attend one of the many balls held in fire stations throughout the city. These are held on the evening of the 13th, and from what I have heard are great fun.
The fireworks show at the Eiffel tower is great and worth the wait. You can see it from many parts of the city; I chose to see it from the Trocadero area and then had to walk back to my hotel in the Latin Quarter. It was a enjoyable walk of a few miles.
I don't recall if many restaurants were closed that day but it was the only day where I had a meal at McDonalds and purchased food from street vendors. July 14th was so exciting that it was more of a eat-and-run day rather than a day to have a fine meal.