If you have 2 days to spend in Bangor, there are several things you can do:
1. Visit Penrhyn Castle: This historic castle is located about 2 miles from the city center and is known for its gorgeous gardens and stunning architecture. You should plan to spend at least 2-3 hours here.
2. Explore Bangor Cathedral: This 6th-century cathedral is a must-visit attraction in Bangor. It has beautiful stained-glass windows and intricate carvings, and is a perfect place to relax and reflect. You can spend 1-2 hours here.
3. Take a walk on Bangor Pier: This Victorian pier offers panoramic views of the Menai Strait, Anglesey, and Snowdonia. You can go for a leisurely walk, grab a snack, or take a boat trip. You should plan for 1-2 hours here.
4. Hike in Snowdonia National Park: If you're feeling adventurous, you can spend a full day hiking in Snowdonia. There are plenty of paths to choose from, including the famous Snowdon Horseshoe. You should plan for a full day excursion if you decide to go.
As for places to stay, there are several options available. You can choose to stay in a hotel in the city center, such as the Bangor Belle or the Belle Vue Hotel. If you're looking for a more secluded location, you can consider staying at the Plas Menai National Outdoor Centre or the Bishopsgate House Hotel.