Q.Potted eucalyptus
I brought my plant indoors this fall and placed it in my east bay window so it gets a lot of sunlight. I water it accordingly. The leaves have now turned a dull green color and are dry and brittle; however, the branches are still pliable. Do I need to cut it back and how much or is it dead??

The sunlight indoors are likely not enough for the full sun plant. Adding a grow light will help the plant through the darker winter days.
You can cut back the plant and allow it to go dormant in a cool and dry location--basement would be fine.
https://www.gardeningknowhow.com/ornamental/trees/eucalyptus/eucalyptus-houseplants.htm