Is the first conditional used only for the future, or can it also be used for present tense? Could you please give some examples?
Sentences in which the verb in the if-clause is in the present tense, and in which the main clause includes will + the plain form of the main verb are indeed sometimes known to learners of English as the First Conditional. An example is ‘If you run, you will catch the train.’ Such sentences predict a likely result in the future if the condition is fulfilled. They can also occur as negative sentences, such as ‘If you don’t run, you won’t catch the train.’
It is still not clear to me exactly what you are asking, but your comment on Susan’s reply suggests you may misunderstand what a tense is. A tense is a form of the verb that often gives some indication of when the event being described took place. Your example was ‘If you get up I will give you breakfast now’. That remains a First Conditional sentence, because the verb in the if-clause is in the present tense, and the main clause is on the pattern will + plain form of the main verb. Perhaps it is the presence of now that is causing your confusion. It may help if you try not to regard will as being part of a future tense. English has no future tense. The modal verb will can perform a number of roles. One of them, as here, is to make a prediction.