If you've only got two weeks, get the tutor to go over pronunciation with you, as well as focusing on set phrases that will be useful in shops/restaurants/hotels/trains where you can swap appropriate words out, e.g. "I'd like (one/two/three of) (this/that/insert noun if appropriate", "When does (thing) (open/close)?", "I want to (buy a/get to)..." . Also something along the lines of どうよみますか? for pointing at kanji and getting people to sound it out for you.
Listening practice: dates/times/numbers.
Kanji (reading only): days of week (for reading opening times), things that will appear on menus (肉、野菜、魚、定食 etc.)、things that might be useful if travelling (駅、入口、出口、窓口、禁煙).
Obviously, if you have any particular requirements (food you are allergic to or don't eat, etc), learn those. Other things might depend on what you're doing and how long you're there - are you travelling about? If you know you're going to be doing particular things, plan for them in advance - if you're visiting a museum on the next day, plan what you're going to say at the ticket counter.