I've seen a lot of tennis this week at BOTW. Some tips to keep in mind:
1a. if you are attending an evening session, dress for a winter night out. You will be outdoors and the temps will be low 50's. Plus, you will get that cold breeze coming through which will make it feel even chillier.
1b. if you are attending a day session, wear sunscreen and cover up (sunglasses, wide brimmed hat or umbrella). I saw lots and lots of people who looked like roasted chickens enjoying massive UV damage to their skin, and possibly their eyes.
2. the practice sessions are the most enjoyable to watch. They're all free to watch, and the girls hit with a reckless abandon that is difficult to convey with any fidelity through 2-D, low fi tv broadcasts.
3. I haven't yet attempted to get an autograph or photo. However, people I've spoken to report the players are quite friendly; Sharapova seems to be relatively inaccessible however, as she jaunts in and out of the player's area to her waiting van pretty quickly without any interaction with the fans.
4. bringing cameras and food is generally ok.
5. the sightlines are good everywhere in the stadium. I believe they only sell 3900 seats maximum.
Also, in the evening sessions, many patrons in the lower priced seats will help themselves to free "upgrades" by moving lower after the first match, or first set, or whenever there's a significant exodus of fans from seats.
Moving to a better seat in sparsely attended sections along the baseline is also the norm.
6. If you want to see tennis played with frightful abandon during the actual competition, Bartoli and Sharapova are the players to see. But the intensity level is high all the way through from practice until the final point, as evidenced by:
1. racket throwing
2. swing shrieking
3. wailing on lost points
4. plaintive sharper louder cries on lost sets
5. lots and lots and lots of fist pumping's and "c'mon's!"
The girls only make money when they win, and only get invited to tournaments in the first place if they have won previously. The single elimination format also ensures drama. The fans have a lot of fun with it, and generally find it quite amusing watching world class athletes have mini and major meltdowns all week long. Occasionally there are exceptional points and rallies.
But in the main, expect a lot of crazy ball bashing by high strung athletes.
edit: oh, and if you're attending on the weekends, try not to pick your nose during the match; ESPN and the Tennis Channel bring out those humongous cameras that can pick out the tiny details on each hair of your eyebrow, and they love to scan the crowd for embarrassing, impromptu moments. You have been warned.