Tucson is a great town with lots to offer. And you are there in a good time of year.
1. Sabino Canyon- great place to hike and explore. Seven Falls is an easy but very scenic hike to check out if you already haven't. I often liked to hike phonline as well as Blackett's Ridge. Blackett's was a short but steep climb that offers you a great view of the city.
2. Desert Museum- fun place to see desert life in a contained area.
3. Mt. Lemmon- as the weather gets warmer this is a great option for hiking. There are so many trails to explore and the drive is amazing up there. I liked hiking butterfly and box camp. You can pick up a waterproof map at Summit Hut and ask around about trails.
Food
1. Mexican- Tucson is very different than Tex-Mex. Sonoran style food is really flavorful and full of options. I really like Rosas, El Charro (downtown), Mi Poca Cosa (high end mexican food), st. mary's (amazing tortillas), La Fresita (west side)
2. Sushi- Ginza- very good sushi (near Sabino Canyon), Ra- sushi is ok, but they have good specials there. Shogun (close to you). Not sushi good Bluefin Bistro is really good and close to you.
3. American- Jax's kitchen- good quality food close to you. The Abbey- great space with good food from the same people as Jax's kitchen. Hacienda del Sol- expensive but they have a great brunch a second restaurant that is cheaper but still very good food. Its at a boutique hotel that offers great views of the city. Sauce, a good local restaurant with fresh ingredients.
4. Italian- Vivace- very nice restaurant with really good food. Special occasion kind of place. Caruso's- been there a long time with really good food. Well priced. Roma's Imports- great local italian deli.
Beer- Barrio Brewery- good local brewery, Dragoon, Borderlands. I don't care for much for Nimbus.
Let me know if you need any other ideas or options. I have plenty of them.