In short, the answer is yes, you will play as Ada during your time with RE 2.
Of course, that then leads to the question: can you play as Ada Wong in Resident Evil 2? However, all the classic story elements and characters you remember will be present, including Ada Wong. The RE 2 remake brings a beloved survival horror classic back from the grave, completely remade from the ground up with a gorgeous new graphical engine and overhauled gameplay.
Can You Play As Ada Wong in Resident Evil 2?