I have a List of objects of following class:
class Entry
{
public ulong ID {get; set;}
public DateTime Time {get; set;}
}
The list contains several object per ID value, each with different DateTime.
Can I use Linq to convert this List<Entry> to a Dictionary<ulong, DateTime> where the key is the ID and the value is Min<DateTime>() of the DateTimes of that ID?

Sounds like you want to group by ID and then convert to a dictionary, so that you end up with one dictionary entry per ID:
var dictionary = entries.GroupBy(x => x.ID)
.ToDictionary(g => g.Key,
// Find the earliest time for each group
g => g.Min(x => x.Time));
Or:
// Group by ID, with each value being the time
var dictionary = entries.GroupBy(x => x.ID, x => x.Time)
// Find the earliest value in each group
.ToDictionary(g => g.Key, g => g.Min())
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