I'm not aware of a way to check if a field is suppressed or not, but since you are using a formula to suppress the field you wish to test for suppression, you simply need to invert the logic used in that formula.
If Field_A has the following suppression formula:
if Not OnfirstRecord And ({Field1} = previous({Field1})) then
true
else
false
Then Field_B would have this suppression formula:
if Not OnfirstRecord And ({Field1} = previous({Field1})) then
false
else
true
Also, I would like to point out that you don't always need to use If..Then..Else logic in suppression formulas. The expressions you use in an If statement will ultimately evaluate to a true or false value. You can shorten a suppression formula to just the expression itself and the suppression will work the same with less coding for you. :)
Since you used if statements though, I added an else to your logic. A suppression formula that uses an If statement can have unexpected results when you don't specify a condition for both true and false values. When you only return a true value the formula can only suppress the field. Once one record evaluates to true the formula can never set the value back to false if a following record needs to be suppressed. This is another reason why its best to only use expressions in the suppression formula. Since the expression always evaluates to true or false they can help prevent you falling into the logic trap of an if statement that has no else condition specified.