In Spanish, the indefinite articles are "un" and "una". "Un" is used before masculine nouns, and "una" is used before feminine nouns. For example, "Tengo un perro" means "I have a dog", and "Tengo una casa" means "I have a house".
In the context of Spanish lessons, "fill in the blanks with indefinite articles" means that you should write the correct indefinite article before each noun in the blank spaces. For example, if you are given the sentence "Tengo ____ perro", you should write "un" in the blank space.