You need to understand what went into designing that circuit, there is no way around it. Schematic itself is just a small part of design. Component selection is another equally important part, and so is PCB layout.
True schematics of real designs have part numbers for everything (sometimes generic values for parts that can be widely replaced). Not usually visually in the schematic itself, but in a separate BOM listing.
If the schematic just says 1uF and nothing else, it's not a complete design. You can't assume anything, you need to understand the circuit to finalize the design (i.e., do component selection and layout).
Of course we can guess that you are probably OK with any type of 1uF MLCC, maybe excluding the worst offenders like Y5V dielectric in tiny packages. But this is just guessing.
Maybe show us the schematic?
For example, bypass caps next to digital ICs are chosen by ESL and ESR, not capacitance, so it doesn't matter if it's Y5V 0.22uF or X7R 2.2uF (both have near-zero ESR as MLCCs, and ESL is defined directly by package size), as long as it's decently small package (say, 0805 or smaller) and placed close to the pins. On the other hand, output capacitors for linear regulators are finicky - depending on the regulator IC - so you need to read the regulator datasheet carefully to choose right amount of capacitance and ESR.