Some will and some won't, much as it is in everyday life, but much depends on what you mean by "...ie hug kiss". The typical passenger list of a cruise ship will contains every type of person that you can imagine, and there will always be those who are offended some type of behavior. I once sat at a table for eight where a militant vegetarian found my steak offensive and decided to make an unpleasant issue of it...
Personally I prefer that people do their serious canoodling in the privacy of they cabins, but that includes everybody, whatever their orientation. On the other hand I'm always touched by couples who stroll around the deck hand in hand because I'm a rather hopeless romantic. (There's a particulary obnoxious program on cable at present where a blind date takes place on a Carnival cruise, and the participants have to spend three days together. On one program the newly-met couple were more or less simulating some rather unusual acts on the dance floor. The other passengers in the background of the shot didn't looked shocked, but they did appear a little frightened.)
On every cruise you ever take you there will always be same-sex orientation couples and singles; you may not know who they are (then again, you may!) but they're there, trust me. One option you might want to check out for you and your significant other is the Olivia Cruises website, which specializes in women-only cruises and vacations (http://www.oliviatravel.com
Final thought: I wouldn't spend a great deal of time worrying if others will accept you or not. Some will, some won't, and for the most part there's not too much you can do about that. Do some research on the cruise lines, talk to travel agents, ask all your friends -- someone will know someone else who's been on a cruise, and they'll be glad to talk about it, and I mean GLAD, it's like some affliction we all
have -- and then decide when, where and with who you want to cruise.
There's no other vacation like it!