Not quite. Raising capital could just be seen as massing liquid assets so you have the funds to finance your business, which could take the form of debt, equity, or just a plain transfer of assets for nothing.

With equity financing, the company transfers partial ownership of the company in the form of shares so that they can gain the capital. Having shares in a company does not automatically give you future revenues. Unless you cash out your shares in the secondary market (if it's still a private company), you are not going to see those future revenues directly. If there's an exit (IPO/acquisition) or a share buyout, that would be the only other time you would see your shares turn into a liquid asset. The value of your shares will not increase unless those events occur or if the value of the company has objectively increased through a higher valuation which in the private market is through another financing round.