On Shabbos, we are more in touch with the spiritual aspects of our life and less connected to the physical aspects. This acts as a "reset" every week and hopefully some of this emphasis is drawn into the following week. This following week therefore is more spiritually meaningful than it would otherwise have been and this is the (ultimate) blessing.
I see these thoughts expressed in the article from Rav Noah Weinberg zatzal; a few extracts follow:
Observant Jews will tell you that Shabbat is one of the greatest
sources of inspiration.
Thus the Sages say: Shabbat is "a taste of Heaven on Earth." If Heaven
is pure spirituality, then Shabbat is a taste of that experience.
Shabbat is our break. It empowers us, not to discard our workaday
world, but to retain our ability to be independent from it. Shabbat
gives balance and perspective to our lives and to our week.
The article from Hillel Goldberg contains this sentences which supports my thesis:
Shabbos may be seen as a one-day-a-week respite—and a glorious one at
that—or Shabbos may be seen as the day that both colors the rest of
the week and constitutes the week’s yearning and anticipation. If the
latter, then we become not merely Sabbath observant, but erev Sabbath
And from Rabbi Shraga Simmons
More than a single day, Shabbos must "spill over" into the ensuing
week, elevating all our actions and thoughts.
Shabbos is not the end of our week, rather it is the midpoint and
source of energy. The second Shabbos, approached after a week so
influenced, is completely different. It marks a spiritual apex, not a
spiritual island. This is the type of Shabbos whose observance will
bring about redemption. This is the Shabbos of a week, and a world,
uplifted. (see Kedushas HaLevi, Ki Sisa 31:13)