I can tell you what it is like at my work, I'm not a server, as we call them there, but I know the job. At my place, you greet the customer first, sometimes you seat them sometimes there is a hostess who seats, then grab their drink orders. Grab their drinks then bring it back and check in to see if they are ready to order. Take their order if ready and ring it into the computer, sometimes telling the cooks ahead of time about an order (for example, well done steak). When the foods up grab it and bring it to them and check back in a short time afterwards to make sure everythings ok, the food tastes good, got napkins condiments etc. After done with food, check to see if want deserts or more drinks, if so get drinks and or make the deserts yourself and put in in the computer. Take away the used/finished plates. As they are about to leave, you cash them out, unless there is a hostess then you don't have to worry about it most likely. Before they end their shift, the servers must finish their clean-ups, sometimes, if it is slow, there are extra cleanups the boss will make them do.
Being a server is pretty demanding I think because you are on your feet the whole time and doing a ton of walking. Another tough area can be those ->-bleeped-<- can't please demanding customers; they're the reason why I never would want to be one cause it would drive me nuts. Some people just like to make you "run", you go there they ask for something, bring it they ask for something else, repeat, when they could've easily said it all at once. Then there are some who just like to complain and bitch hoping for a free or discounted meal. Some are just ->-bleeped-<-s and you will have to deal with them. Some also refuse to tip and as you mentioned, making 2.65 an hour, you are totally depending on tips to make any decent money, but you still have to be nice to them and serve them.
I think working in the food industry, even as a cook, would give you a little edge because you have some kind of experience but I think it would depend on where you apply for a job. If you are trying to get into the fancy place in town I imagine they would want or require someone to have some experience waitressing beforehand but if you are ok with any place, a smaller one might hire you.
As for the being trans and getting hired, I think it prolly depends on a few things: how passable you are, the owners/managers stance on it, etc. I know at my place they don't hardly ever allow males to be servers, they're sexist..., I think there has been like 5 males they've allowed do it compared to like 500 (no joking, possibly more even) females. I know they'd allow me to do it but I don't wanna. I've seen that the food industry has a super high turnover rate, people come and go all the time. At my place at least, it is VERY important that the managers like you or else you could be gone quite easily; I'm unreplaceable

, so I can get away with quite a lot

.So if you do get a job just be prepared that you could get fired quite easily, if they don't like that your trans could just make any little excuse and poof you're gone.
As for advise in getting hired, I'd say the first thing would be to apply in many locations because as I said before, people come and go quite often so there could be openings available or there could be many people applying and waiting for some to become open. Also, I think it is a excellent idea to meet with the manager/owner/person who hires if you can when you get an app or when you are turning one in and make a good impression on them. That way, when a spot does open up, hopefully that person will remember you because they know you a bit and that will give you an advantage over just some random name on a piece of paper and an app alone. After putting one in, check in on the status of it as well within like a week, lets say, to show that you are really interested in getting a job and keep doing that for a lil bit afterwards as well.
Ok well that was super long lol, hope it helps, good luck