Denali National Park is deep in the heart of Alaska's bear country. It is almost impossible to drive through the park without seeing a bear. One of your best bets to see a bear is take one of the many bus tours offered by the park. These tours afford visitors the chance to become familiar with the park and surrounding areas. Denali is a largely pristine, undeveloped park. A few years ago a conscious decision was made to not develop its hiking trails.
Bears are most often found near where they feed. They are most often seen in many of the berry patches in the park.
During the summer it is very important to follow proper safety precautions. Park Rangers can alert you to proper procedures to avoid injuries in bear country. Bears can be particularly hostile during this time of year while they are raising their young. Always remember, bears are wild and if startled can be deadly.
Your best bet is probably September!
Mosquito season in Yellowstone extends from May through August. In general, mosquito populations are most intense in June. There are fewer biting bugs in September, but you should always be prepared with bug spray, long-sleeved clothing, long pants and a hat.
Ranger-guided programs usually extend through the end of September. You can view program schedules here.
If you know you were watching Wolf 527, then yes, it was the same one. Otherwise, it's hard to say. Yellowstone is home to more than 100 wolves in 12 packs. Wolf 527 was an alpha female that helped form the park's Cottonwood Pack. Before she, her mate — the pack’s alpha male — and her daughter were shot this month, wolf 527 was wearing a radio collar that enabled researchers to track and study her and her pack.
You can read more about Wolf 527 here.